Doable, but painful and not really good for the joints. Could get an injury or could be fine and just sore. By the looks of it this one wasn't injured but is also now feeling it.

When we moved from a one-story with carpet to a two-story with tile floors, our cats were fascinated by the stairs and had to spend an hour or so scampering up and down them to satisfy their curiosity. One of them was prone to really wild zoomies, and on his first one in the new house, did several rounds of galloping from one end to the other including up and down the stairs, and finally included a giant flying leap from the top of the stairs. He landed fine - they usually do - but you could see he was shocked at how hard the landing was, and he was uncomfortable. He made a sorrowful little "ow" noise, and limped over to the sofa where he stayed put the rest of the day. He was fine, but he'd learned his lesson. Next day, back to the zoomies, but he never made that leap again for as long as he lived.