That was the implication in the novel:
Luke got to his feet and Rey saw immediately that nothing had changed--he was still going to walk away from her, retreating to brood in silence. Furious, she swung her staff at him again--but Luke reached out, the motion a blur, and a length of lightning rod flew off the roof of one of the huts. Before Rey could blink he had intercepted the strike of her staff, the impact sending a jolt up her forearms, and knocked her backward.Rey sprang back at him, her staff and his improvised weapon spinning and colliding as the rain poured down. She pressed the attack. The staff had never felt more comfortable in her hands, so much like a part of her. Her confidence grew and she smiled wolfishly as she saw the surprise on his face.
But it was a fleeting thing. Quicker than she could follow, he parried her thrust and continued the motion, flipping the staff out of her hands to clatter on the stones, leaving her defenseless.
-TLJ
Short answer, obviously.
Long answer, I'd wager that Rey never stood the slightest chance against Luke. He easily parried and evaded all of her attacks, and disarmed her in no time, with seemingly no effort. Even after she drew the lightsaber to her, Luke likely would have won if the fight had continued. Luke fell back out of surprise that she was willing to escalate the disagreement to such a lethal level (from my point of view), and we see him catch himself from the fall with the Force. There's no reason to believe Luke wouldn't have ended the battle with the Force if Rey hadn't lowered the weapon.