Can I hire a separate floor contractor while working with a GC?

I've been talking to a GC about upcoming project - kitchen remodel, new floor installation in some parts of the home (including kitchen), and 2 guest bathroom remodel. New cabinets, and some plumbing will be moved in the kitchen, but all appliances will be in the same place. Haven't signed any contract yet. I got a separate quote from a flooring contractor for the floor part that was cheaper than what the GC was offering. Can I have the floor contractor install the floor instead? New to the renovation world, so any advice is appreciated!