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As the title says.

That was the implication in the novel:

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.

The real question is:

Was Rey toying with Luke?