Yes, Zapper charges a 0.5% fee on all token swaps and bridge transactions. These fees help support continued development of Zapper's products.
Additionally, when you transact on Zapper you pay gas fees to have the network’s miners confirm your transactions. Gas fees range in cost depending on how the network you are transacting on is built, and how busy the network is when you transact. These fees are a normal part of using blockchains. None of the gas fees you pay are collected by Zapper.