I can see Elon Musk doing something similar for cryptocurrencies that he's doing for his business "Starlink". If not, someone will eventually come along, and do the same. However, this really isn't a priority if your thinking this is a good idea for prolonging the life of Bitcoin, unless you plan on catering to undiscovered extraterrestrial beings, because currently not many humans are away from earth, and none at all are away from earth permanently.
For this to become a priority you would probably need established colonies on another planet, and even then there's far more things that would need to be prioritized than establishing a currency that can't be destroyed or is unlikely to be destroyed.
I'm not exactly sure who holds jurisdiction in space, and whether there is any at all, and that's why I say that Elon Musk might consider this in the near future. It could be beneficial to establish nodes outside of jurisdiction of governments, and prying eyes. That would really be the only justifiable reason that this could become a priority, and even then that's a stretch. I do have a feeling though that to launch anything into space, it would require permission from some sort of governing board.
I understand the idea of it is cool, but its not exactly needed any time soon.
This is something optional than necessary for Bitcoin to work as intended. Expanding Bitcoin throughout space is a great idea, but it's something that requires a lot of funding to come into fruition anytime soon. Not to mention, the company doing this would need mainstream governments' approval. As you've said before, someone like Elon Musk should be more inclined in strengthening Bitcoin's infrastructure throughout space. At least, we have thousands of nodes supporting the Bitcoin blockchain on Earth. They're distributed among many countries around the world, greatly reducing the risks of a single point of failure. If something catastrophic happens in the future, you can rest assured that Bitcoin will stay alive because nodes aren't concentrated in a single region. The same will happen with Ethereum and other decentralized cryptocurrencies. Establishing nodes throughout space will only make Bitcoin completely "indestructible".
Nonetheless, there are far more important things to focus on besides expanding Bitcoin throughout space. First, Bitcoin needs to solve scalability issues to increase widespread adoption in the mainstream world. Then, it's going to need to adopt privacy mechanisms to become as fungible as cash. And last but not least, Bitcoin is going to need a proper regulatory framework to attract institutional investors into it. The last one will solve volatility issues, making Bitcoin a stable cryptocurrency for mainstream payments. Once all of Bitcoin's inherent issues are addressed, then we can talk about expanding Bitcoin to "infinity and beyond". Just my thoughts