Time is relative. It's based on speed and local gravity as described in Einstein's general theory of relativity. The FSD negates relativistic effects (I think). Even though normal drive speeds are nowhere near relativistic velocities, this and the orbits of space stations around various planetary bodies would affect the passage of time. These effects would be negligible, but measurable. Even GPS satellites IRL have to adjust for relativistic effects.
And if you could survive on various planets, the different gravity experienced compared to Earth would also affect the passage of time (though minuscule).
No, only you are relative. And gravity has nothing to do with time. And GPS relativity is the biggest myth out there.
Which is why Time synchronized with SOL day is the same everywhere in the Universe. In the time it took me to type this message, the same exact amount of time has passed on Alpha Centurion.
Of course if you want to base your concept of time in regards to birthdays on some other planets orbital year, then sure. But that's a different calendar, and wouldn't change your Earth based age, or your real age.
The different gravity of planets affect the passage of time on those planets? So how fast/slow does a clock run on the Moon or Mars?
