I hope I'm qualified to answer this: I used to work at HP as a inkjet paper engineer!

There are two kinds of inkjet photo paper: swellable and porous. Most modern photo paper is porous these days. You can tell easily by licking your finger and touching the paper (or just licking the paper if you prefer). The porous paper is like a dry sponge, your finger will stick to it. The swellable will feel slimy.

If its swellable, I wouldn't run it thru a laser printer. The coating is kinda plasticy and could get dicey in there.

Since its probably porous, you can run it though without issue. The porous paper is designed to absorb and "instant dry" the ink (which is 90% water), but laser wants to lay the ink on top and then fuse it. So no harm can come, but how the toner lays on the paper will be a fun experiment. I suspect the paper will not allow "dot gain" and the image could look a bit grainy. If you can pick the paper setting, I would use plain-paper which might adjust for the paper absorption. Laser likes a smooth sheet.

Does anyone still print photos anymore? There's a reason I'm not doing that sort of work anymore....the Great Recession and smartphones pretty much killed the at-home photo printing market.