I do this all the time!

I ship actors, singers, artists, you name it! I like superheroes, so when I see the actors who play them together in public, I go crazy. I ship more of the actors from the MCU than DC, but I can ship celebrities who are friends or whatever. I even ship some of my classmates, some aren't even gay ships! I add drama to them, and I had to write some into stories to release the fangirling! I think it's totally normal.