No. Priority Pass is separate from the airline completely. I have Priority Pass Select through AMEX Platinum. As long as you can access the location of the lounge with whatever ticket you have, you're in. I.e. if you are flying AA out of Terminal 4 at LAX, you can't use the United Club in another terminal since you cannot pass security. However, at, say, BDL, where you can access the US Airways club, and nearly all gates are in one terminal, you don't need a US Airways ticket for access.