It depends on the laws in your country. In some countries the owner of the contract with the ISP is liable for everything that happens on the network, in some countries they are not.
People answer things like I2P, but they will not shift the blame away from the network owner if you get caught - your only choice really is a commercial VPN with a kill switch, so if you get caught, you will be singled out via the VPN contract and not via the ISP contract.
You could also get a SIM card with best case unlimited traffic and use that for your piracy, because that would also end up in your hands as you own the contract.