Mettaton will do something if it means getting the power on faster, if she has anything to direct him to do. He's particularly invested in getting those screens in the lounge functioning, among other things.

That being said, he is only passively tech oriented: he doesn't know a thing about hacking and relies on others to do all of his repairs and whatnot. His anatomy's most of what he has to offer: he can connect to stuff, but he might not be apt at doing anything with the data without advice.