As opposed to all replies, I can truly say I can change a car tyre, being in the car trade for near 40 yrs.
What the question should ask is, "can you change a car wheel"? The wheel is the rim & tyre as fitted together for the car.
Changing a tyre involves some very physically strenuous activity if only with tyre levers and a rubber mallet, compared to minor physical effort using a tyre machine.
On the other hand, in a perfect world, changing a car wheel is relativily easy, providing the correct vehicle position, a good working jack, correct hand tools and the required knowledge.
Vehicle terminology always makes me go grrr when it comes up, but I do smile at the same time. .