Yes! If the hole isn’t near a stud, you can use drywall repair clips or install a piece of scrap wood (like a furring strip or plywood strips) behind the entire hole to act as backing.

For holes smaller than 3 inches, you can typically use spackling paste or joint ... For larger repairs, a drywall saw, screws, repair clips, mesh drywall tape, and an extra pieces of drywall ...