Depends, largely on how motivated people are to identify you.

If you infrequently torrent a few games and movies, using a VPN will probably be enough to deter most of the law firms specializing in churning out copyright notices. They go for the low hanging fruit first, aka the users without a VPN.

If you on the other hand were to engage in torrenting highly illegal stuff, and were therefore to become a target of state law enforcement, you’d be in a whole different kind of trouble. A VPN would likely not be sufficient.

If you are tech savvy and the stuff you want to torrent is somewhat mainstream, I would recommend torrenting over i2p. You should be able to find all the info you need to get started on their website: https://geti2p.net/

i2p is an anonymity network similar to tor, but the implementation allows for torrenting much better than tor. It is worth noting that i2p is not a drop-in replacement for a vpn and you will only be able to access content on the i2p network, however you can easily request that things be added and there will usually be a seeder in a day or two.