I don't see the causal dependency between these things. Could a probe to Europa be sent while still having housing problems in some countries? And could it be sent after having those housing problems addressed? I think the answer to both of those questions is yes. And conversely, can the housing problems be addressed while sending a probe to Europa? And can they be addressed while not sending a probe? Again, i think the answers are both affirmative.

These things don't seem to depend on each other. And different people want to do different things in this world. I don't think that the people who want to help shelter homeless people would be deterred by other people wanting to send a space probe, or vice-versa.

I picked housing from the problems you mentioned just because it was the first one. I think this argument would still apply for the others. The reasons we're having those problems have nothing to do with how many probes we send to space.