I am having this problem, PC running windows, playing through steam - had the problem since I only had the Cottage Living or whatever it's called expansion, which I got basically at the same time as the game. Click and nothing. Mixed between relieved it's not just me and kinda mad it's been since July and this hasn't been fixed yet, TBH.
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Okay, so since I wrote, I did try getting a rocket park and went there to try building one of the ones there - with no success, but it was a good idea.
THEN I found that someone has created a mod to fix this issue - which, again, I really with EA had done in a standard update instead, because by this mod creator's explanation, it sounds like a fairly simple issue that shouldn't have been so problematic for so many people for so long.
Snip If the link isn't working, do a web search for can't build a rocket sims 4 and look for a result in a site called simvasion. I just installed it and am about to restart the game, but I'll come back and edit this post again if it, I don't know, covers my Sims' lot with tribbles, eats my computer (I'll still have my phone and I'll be mad enough to log in in a new place), or simply fails to work.
CM Edit: Please do not link to mods on Answers HQ.