Not if she also has a preference for you.

You want to avoid suggesting that you're more into her than she is into you. So "we've been on one date and now you're my girlfriend, right?" is usually a bad idea. But "we've been on one date and I'd like to go on future dates" is probably okay (if she doesn't want more dates, it wasn't going anywhere anyway).

(Massive overgeneralization, of course, and also I'm not qualified to talk about this.)

It depends a lot on local culture. There are cultures that value the demonstration of personal power very much. Other cultures value consent and mutual respect more strongly.

Romance isn't about making a series of right moves. If both people want the same outcome then it's not a problem when one of them makes a few bad moves. Romance isn't antagonistic. Both people have the same goal.