The world's overrun with Kaiju but, while they kill many and cause much destruction, our civilization continues, migrating inward, away from the coasts where the Kaiju typically occupy.
And there's your answer. I don't know what percantage of the world's population lives in coastal areas, but it's a lot. In US alone, most of the biggest cities, including New York, LA, Miami, Boston, San Francisco, Houston etc are all on the coast. NYC alone has 8.5 million people. If all those people are either dead or have to be evacuated inland, that's a big problem.
More than this, coastal cities is where the ports are. No more access to ports means no more shipping. No more iPhones. No more cheap Chinese crap you order on Amazon. If you rely on shipments of Liquefied Natural Gas, as many European nations do nowadays, you'll just have to find something else. If your factories rely on shipments of raw materials, no more working factories. If your nation relies on food imports, you just starve I guess.
You can transport goods by cargo planes, but you can't get anywhere near the volume you get from shipping. The global economy relies on being able to transport raw materials or products anywhere in the world, it cannot function if that's no longer possible.
So if humanity loses access to coastal areas, it will certainly mean the end of space exploration, because mankind will have more pressing problems, like trying to keep civilization from collapsing.