No. He has been nicer to Putin than usual lately, out of desperation to somehow mitigate the fallout from his monumentally stupid and destructive war on Iran, but this should not be confused with actual subservience. A President who actually "did everything Putin asks" would have stopped arming Ukraine and lifted all sanctions on Russia. Trump did not do either of those things during either of his terms, to the contrary he has overall been quite hawkish against Russia and mostly intensified the pressure against them.