Definitely started before Trump, with the loud, asshole Fox news pundits like Bill O'Reilly and Glenn Beck. Jon Stewart spoke out about it a lot and held a rally in 2010 called The Rally to Restore Sanity and/or Fear. Unfortunately sanity was not restored.
What are you talking about? Biden hasn't denied Ukraine membership in NATO (it's not up to him). To join NATO you can not be in a current conflict (see:the current war.) Biden would absolutely love to have Ukraine join.
You are entirely right, but the person you're replying to was certainly referring to how the US and Germany together prevented NATO from providing a more concrete timeline and encouraged the vague promise of Ukraine being offered an invitation to NATO when unspecified "conditions have been met".