Yes it is possible, it's called half-swording and it's quite common in a good amount of longsword manuals.
With a proper way of gripping the sword you can half-sword safely even without a pair of gloves and sustain no damage to your hands. Skallagrim has a video in which he does exactly that, half-swording with his bare hands then Mordhau-ing a rubber tire, although he admits that wearing gloves give a psychological advantage to half-swording.
