Can I use AMP to update FiveM Frameworks through their GitHub pages?

FiveM is almost exclusively used with a framework. The standalone software is pretty much useless. Can I use Scheduler to automatically pull new changes from the GitHub of ESX or QBCore and install them onto the server? Can it replace already existing files while ignoring others?

If yes to any of these, how would I do it?

This is not currently an option. Go here to submit a feature request for it that can be tracked.