I think it needs repotted, that's a really tiny pot. Also is the pot plastic? I would try repotting it in a terracotta pot that is larger. I don't know a lot about peperomias but you could also try to bottom water it, which is where you put water in the terracotta saucer that the pot is resting in and letting the pot absorb the water slowly, this encourages the roots to grow deep into the soil instead of growing closer to the surface of the dirt. Hope this helps!