I was experiencing this and I have since been able to build a rocket in that same save, but I am unsure of which thing(s) fixed it so I am going to list everything that happened in case it helps anyone else:
I am on PS4 with no mods and every pack except for the dust and the workout clothes. No cheats enabled, I went to one Geek Fest and the chicken fair happened but I did not attend. My sim purchased the steampunk rocket on their lot in Newcrest and was unable to interact with it in any way. Here are all of the things I did to try to fix it:
1. Invited 8 sims over hoping that one of them would work on it, nobody did.
2. At 8pm built a "park" lot on the Tranquil lot in Newcrest with the minimum amenities (toilet, sink, benches, etc.) and also two each of three rocket types. I gave the lot gnomes, fast internet, and science lair and had my sim visit.
3. Upon arrival my sim could not interact with any of these rockets, either.
4. I had my sim practice singing and wait around... she increased her singing twice and at 4am I had her use a moodlet solving potion.
6. At 6am Prank Day holiday started on it's own.
7. At 8am I noticed my sim could now interact with all of the rockets in the park to start building them. No other sim had touched them.
8. I had my sim travel home and she was able to build her own rocket that had been untouchable before.
I do not know which thing made it work, but hopefully one of these things helps?