You have an awesome favorite player, welcome to the forum! And allez Jo
Can't say for sure, but I think he can. He's been improving a lot and is still pretty young (27yo, but only 320 matches on tour) and should have more chances. If he keeps improving his backhand and making strides in other parts of his game, I think he could.
I hope he will, Jo winning a Slam would be awesome for tennis
His best chance would be at Wimbledon in a very rainy second week. His tennis is awesome in the first week but suffers in the second week due to the grass turning into clay; under the roof, though, he'd be very tough to beat. Even outdoors, he has a chance. USO, he should have a few chances too.