Yes, anyone can deploy a Jetton. Jettons are just smart contracts, similar to ERC-20s on Ethereum. The network wouldn't be very decentralized if that wasn't the case!
Technically, there is no "official" deployment of ETH because anyone can create their own bridge and their own ETH token. So it's up to you to do the research to figure out which Jetton smart contract is the best to use as your ETH representation. That being said, ton.org currently uses the TON Bridge as their cannonical bridge.