No! ExpressVPN keeps no activity logs and no connection logs of any kind, so your activity can never be traced back to you. It also means ExpressVPN cannot respond to requests for data that it does not possess.
The nature of P2P file sharing means that other users can see the IP address you’re using to share files. If that IP address is your true IP address, your metadata and location will be exposed to strangers who could track and monitor everything you download.