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It is unlikely for something like this to work

Your falling point here, like pretty much all questions about alien fauna/flora, is Chirality. If the planet your cockroaches land on has the wrong chirality, the cockroaches will not be able to derive any nutrition from eating the flora/fauna, and may in fact have lethal allergic reactions to it, quickly killing off your pests.

This is, of course, passing over the issue of maintaining a breeding population of cockroaches whilst they travel the depths of space, or the inherent problem that if the cockroaches eat 99% of the local flora/fauna, your cockroaches will have no more food and starve, potentially leaving some remote natives alive to repopulate.

It'd be much more efficient to launch a set of Von Neumann Probes to hunt down and eradicate life. Just make sure that the kill switch is the last thing to mutate though, unless you want to become a cautionary tale after your robots sterilise your home world.

As @Kieran mentioned in a comment, a way to use Von Nuemann Probes whilst sticking with the DNA theme would be to have them analyse the environment, before designing and manufacturing a set of invasive species to destroy the natives. Perhaps your probes could collect the DNA and use it for later invasions, producing your own Tyrannid Hive.

It is unlikely for something like this to work

Your falling point here, like pretty much all questions about alien fauna/flora, is Chirality. If the planet your cockroaches land on has the wrong chirality, the cockroaches will not be able to derive any nutrition from eating the flora/fauna, and may in fact have lethal allergic reactions to it, quickly killing off your pests.

This is, of course, passing over the issue of maintaining a breeding population of cockroaches whilst they travel the depths of space, or the inherent problem that if the cockroaches eat 99% of the local flora/fauna, your cockroaches will have no more food and starve, potentially leaving some remote natives alive to repopulate.

It'd be much more efficient to launch a set of Von Neumann Probes to hunt down and eradicate life. Just make sure that the kill switch is the last thing to mutate though, unless you want to become a cautionary tale after your robots sterilise your home world.

As @Kieran mentioned in a comment, a way to use Von Nuemann Probes whilst sticking with the DNA theme would be to have them analyse the environment, before designing and manufacturing a set of invasive species (specialised for this world) to destroy the natives. Perhaps your probes could collect the DNA and use it for later invasions, producing your own Tyrannid Hive.

It is unlikely for something like this to work

Your falling point here, like pretty much all questions about alien fauna/flora, is Chirality. If the planet your cockroaches land on has the wrong chirality, the cockroaches will not be able to derive any nutrition from eating the flora/fauna, and may in fact have lethal allergic reactions to it, quickly killing off your pests.

This is, of course, passing over the issue of maintaining a breeding population of cockroaches whilst they travel the depths of space, or the inherent problem that if the cockroaches eat 99% of the local flora/fauna, your cockroaches will have no more food and starve, potentially leaving some remote natives alive to repopulate.

It'd be much more efficient to launch a set of Von Neumann Probes to hunt down and eradicate life. Just make sure that the kill switch is the last thing to mutate though, unless you want to become a cautionary tale after your robots sterilise your home world.

It is unlikely for something like this to work

Your falling point here, like pretty much all questions about alien fauna/flora, is Chirality. If the planet your cockroaches land on has the wrong chirality, the cockroaches will not be able to derive any nutrition from eating the flora/fauna, and may in fact have lethal allergic reactions to it, quickly killing off your pests.

This is, of course, passing over the issue of maintaining a breeding population of cockroaches whilst they travel the depths of space, or the inherent problem that if the cockroaches eat 99% of the local flora/fauna, your cockroaches will have no more food and starve, potentially leaving some remote natives alive to repopulate.

It'd be much more efficient to launch a set of Von Neumann Probes to hunt down and eradicate life. Just make sure that the kill switch is the last thing to mutate though, unless you want to become a cautionary tale after your robots sterilise your home world.

As @Kieran mentioned in a comment, a way to use Von Nuemann Probes whilst sticking with the DNA theme would be to have them analyse the environment, before designing and manufacturing a set of invasive species to destroy the natives. Perhaps your probes could collect the DNA and use it for later invasions, producing your own Tyrannid Hive.

It is unlikely for something like this to work

Your falling point here, like pretty much all questions about alien flora, is Chirality. If the planet your cockroaches land on has the wrong chirality, the cockroaches will not be able to derive any nutrition from eating the flora/fauna, and may in fact have lethal allergic reactions to it, quickly killing off your pests.

This is, of course, passing over the issue of maintaining a breeding population of cockroaches whilst they travel the depths of space, or the inherent problem that if the cockroaches eat 99% of the local flora/fauna, your cockroaches will have no more food and starve, potentially leaving some remote natives alive to repopulate.

It'd be much more efficient to launch a set of Von Neumann Probes to hunt down and eradicate life. Just make sure that the kill switch is the last thing to mutate though, unless you want to become a cautionary tale after your robots sterilise your home world.

It is unlikely for something like this to work

Your falling point here, like pretty much all questions about alien fauna/flora, is Chirality. If the planet your cockroaches land on has the wrong chirality, the cockroaches will not be able to derive any nutrition from eating the flora/fauna, and may in fact have lethal allergic reactions to it, quickly killing off your pests.

This is, of course, passing over the issue of maintaining a breeding population of cockroaches whilst they travel the depths of space, or the inherent problem that if the cockroaches eat 99% of the local flora/fauna, your cockroaches will have no more food and starve, potentially leaving some remote natives alive to repopulate.

It'd be much more efficient to launch a set of Von Neumann Probes to hunt down and eradicate life. Just make sure that the kill switch is the last thing to mutate though, unless you want to become a cautionary tale after your robots sterilise your home world.