Can a student pilot land a plane?

It all depends upon what stage of instruction the student pilot is in.

Fairly early on in instruction you start landing the plane with your instructor at your side. Smaller airports don't have a control tower (which is where most people learn to fly simply because if you go to an airport with a control tower it takes much more time to get permission to take off and land and is going to cost you much more to learn to fly there instruction time wise if you are paying by the hour for the plane and instruction.

So Yes, once you learn the air traffic patterns for takeoff and landing as long as you aren't in a cross wind which is much harder to land in without touching a wing to the tarmac or crashing because you have to use the pedals more to steer the plane just right as you touch down. But, if you are landing into a head wind and the wind isn't too gusty or strong most student pilots might be able to land their plane if their instructor passed out on them.

I flew Cessna 152s and Cessna 172s and 180s in the late 1980s when I soloed then.

note: in a cross wind it can get very tricky landing depending upon the strength of the Cross wind and whether there are unpredictable gusts going left to right or right to left. But, if it is relatively calm landing a plane can be pretty easy.

There is a saying: "Any fool can take off in a plane as a new pilot but it takes real skill to land a plane."

So, when new pilots steal a plane and go joyriding often they also die soon unless they land in the ocean or something like that. Because landing a plane anywhere takes real training and skills because every landing is different depending upon the conditions one finds at that airport or location.