Lorena M.

No, there are no PvP servers that are run on the Skyblock theme, but if you are a fan of the kind of PvP that happens in Minecraft, then you can go and play on the servers called the Skywars, where you will be placed in different teams which are denoted by colors, and you will have things you can use to attack other players base (bed or respawn point). The last team with players standing wins the match, and you can check them out by clicking on this link https://www.minecraft.buzz/category/skyblock/.
https://minecraft.buzz/category/skyblock