Wormholes aren't forbidden by relativity, which isn't quite the same as "scientifically plausible".
If you were able to make a wormhole, then you'd be able to pump energy into one end and get energy out of the other end. Exactly what comes out of the other end rather depends on the nature of the wormhole metric. Given that wormholes may be mathematically possible but no-one has worked out a way to make them physically plausible, you can handwave that as you see fit. Do you want wormhole lasers? Sure, you can get wormhole lasers.
Remember that lasers aren't infinitely thin, and the throat of a wormhole is of a certain size. You can't fire a really fat beam of laser light down a really skinny wormhole. This may limit the useful range of the beam as it exits the wormhole due to diffraction limiting effects.
Finally, just because the wormhole would plausibly let you avoid the FTL issue by providing a shortcut between two points, doesn't mean that you can't just materialise a wormhole mouth at an arbitrary point in space. You need to carry one mouth to your target first (assuming that it possible, with whatever wormhole design you've settled on), and then shoot your laser through the other mouth. Being able to materialise a wormhole anywhere you like, such as by a distant target, implies FTL and that quickly totters off into the realms of implausibility and/or inconvenient things like time travel. So you might not want to do that, depending on how hard your want your scifi setting to be.