Never force. 'Move fast' just means don't dilly dally. If she's ready for more, then go. If not, then hold until she is. In my opinion, Chase says 'move fast' to pound preconceieved dating norms out of our noob heads. So if you're on a first date with a girl and she's giving you those 'fuck me' eyes, then go fuck her. Don't start deep diving. Don't bid her farewell and then strut home because you're confident she'll say yes to a second date. Similarly, if another girl ends up needing 5 dates before she's ready to have sex, then that's fine too. The key is that you're moving with them and you just aren't delaying things on your end.
As for the vibe, don't worry about it here. If you can sense when to move things forward and when not to, you'll be giving off a good, commanding (and thus sexy) vibe.