As a general rule of thumb, it is considered wrong (even unethical) to send the literal questions to interviewees ahead of time. There are often circumstances where you may tell an interviewee what you plan to ask (similar to what you mentioned) but you almost always just tell them generalities, and then you'd probably keep a few questions up your sleeve.
All that said, I could certainly imagine a scenario where a public official's people demand questions be submitted ahead of time or else they won't be able to ask a question. Some news organizations will probably acquiesce to this in exchange for the soundbite or quote, particularly if they think their competitors are going to agree to it. I never worked something to the scale of a presidential press conference but it wouldn't surprise to me learn that this happens frequently. Personally, I would disagree with the practice, but it certainly puts the journalist/news organization between a rock and a hard place. They could say 'no, we won't play your game' but then all the readers/viewers will go watch the other station or read the other website that had the content. Taking too many stances like that won't pay the bills and keep the lights on.
Some of that is just speculation, though. Like I said, I'm not sure how often something like this happens and I didn't quite catch the context of this Biden presser yet. I was never asked to submit my questions in writing in the four years I was a broadcaster but I worked for a local market, nothing national. Things might be different higher up the totem pole. In general though I definitely disagree with the practice.
