Is there a way to project and control a android screen on PC using USB connection My android screen just recently broke and I can't use the touch. I would like to take some files off it but it is password protected and to access them I need to type in the password.
Unless you had USB debugging enabled, you are unlikely to be able to access your phone's screen over USB (as far as I know).

If you have an external keyboard, you could try plugging it in with a USB OTG cable and using that to type the password, or if you had USB debugging enabled you could try using Vysor.