Generally speaking, currently serving politicians aren't allowed to have threads, since such threads will inevitably lead to a-logging and politisperging. The only exception I can think of is Marjorie Taylor-Green, who goes on schizo rants about Jewish space lasers. Trump only got his own thread once he left office in 2021.
If Biden loses reelection, he would definitely be a candidate for a thread, assuming he stays in the public eye and doesn't just sit in his autism corner and paint like Bush Jr.