I assume you mean are scientists studying things science says we can't manipulate.
Science doesn't actually work quite like that, which is why people are being snarky. But assuming your question is asked in the spirit of genuine curiosity:
- Alcubierre warp drive
- Negative mass
- Using lasers to build artificial event horizons
- Modeling wormholes on quantum computers
People are writing papers like
- This one https://arxiv.org/pdf/2606.12528
- This one https://www.academia.edu/170342840/Self_Liquidating_Time_Model_SLTM_Samolikvida%C4%8Dn%C3%BD_model_%C4%8Dasu_SM%C4%8C_An_Axiomatic_Explanation_Axiomaticke_vysvetlenie
- This one https://ijrpr.com/uploads/V5ISSUE11/IJRPR34721.pdf
- Or this one https://www.academia.edu/166978742/Quantum_Tunnelling_Timing_Kernel_for_a_Stabilized_Probabilistic_Time_base
Scientists study super hard problems that seem impossible all the time, and they would all be just as excited as you if something "impossible seeming" turned out to be possible. The thing is, these problems are actually super hard / impossible to solve so...
- The language of the serious science is super complicated AND it doesn't usually give you practical ways to say, build a time machine.
- BUT, it turns out it IS super possible for someone to say they THINK they can build a time machine, or an anti-gravity machine or an FTL drive. 20 years ago, my brother did a shit ton of drugs (like mushrooms, LSD and ayahuasca all in the same week) and thought that he knew how to build a perpetual motion machine. He even asked me for help raising VC so he could pursue his ideas (I declined and tried to explain why).
- We call these people crackpots. Which is really difficult and probably a little painful for people who want to believe these magical technologies that would let us travel back in time or across the galaxy would exist if scientists would just "try a little harder" or "take this weird theory I read about on the internet seriously."
- Sadly, that's not how science works. But physicists would LOVE to discover that FTL was possible or that you could make an anti-gravity belt. And believe it or not, lots of them spend time thinking about how to do that kind of thing. But that doesn't mean that we're about to be able to do those. And it REALLY doesn't mean we'd be able to do them if physicists would just "think outside the box" or "take these outlandish ideas seriously."
- Anyone who tells you otherwise is crazy, has an axe to grind, is trying to sell you something or all three (cough Sabine Hossenfelder cough cough)