Needing help with an RC quadcopter project

This is a complex project, and not really suited to someone without detailed experience - sorry but asking if you can power from the Arduino suggests that.

The motors take 10+
Amps and need dedicated seperate speed controllers for the brushless motors, so you can turn, bank and go up/down. The flight control boards you can buy are significantly more powerful than a Nano.

If you do want to look further have a google for projects.