1. I don't need the money at the moment.

2. He felt refreshed at the moment.
3. Can you lend me some money at the moment?

(Are all correct? What is the meaning of 'at the moment'?)

The phrase "at the moment" means about the same thing as "now."

1 is fine, but 2 and 3 would be better if you use "now" instead of "at the moment."