Yes! If you’ve written down and stored your wallet’s 12-word backup phrase, you’re good to go. Because Paxos Standard is an ERC20 token, you will receive it to your regular ethereum address. The private key of your ethereum address is what grants you ownership of your Paxos Standard balance, along with your ether.
If you haven’t yet backed up your wallet, head over to the Security section of your wallet to do it now. Your backup phrase acts as a failsafe, ensuring that you can always access your funds. This guide can walk you through the process.