I'm on my school's swim team, and have even gone to meets with fresh cuts on my legs. The coaches are kindof intense and once I started bleeding in the middle of a race (not SI related), and they told me to just put a towel over it before my next event.
In my experience, people really can't see cuts or scars very well if they're underwater. Chances are, most people will be unhappy about having to swim, and will be in their own world. Change quickly and behind a towel, in a stall, or in a shower, if your school has them, keep yourself wrapped up in the towel, and try to get in the pool quickly. I'm not sure what your PE swimming requirements are, but mine didn't require a lot of getting out of the pool.
At my school, you had to wear a shirt over bikinis. I'm not sure about yours, but if you have a rule like that, you could make sure you don't bring any one-pieces. Use a big, beach towel if you have any and wrap it around your waist when you're not swimming.
Most pools technically have a rule against getting in the pool with open wounds, but at my school, at least, we kindof ignore that for little cuts, or even skinned knees and stuff. In my lifeguarding training, my teacher saw cuts all the time and never said a thing.
I'm not sure about where you are, but where I am, technically teachers and staff members have to report any self-harm. I was lucky for a long time and could confide in one of my teachers (now my coach) and he didn't say anything until I expressed suicidal ideation. If your PE teachers are cool, maybe you could tell them? You could also cover any fresh ones with gauze and a lot of medical tape, and if anyone asks, just say you got in a fight with a bear and won (I've actually used that one before).
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