No. For security reasons, PayPal only allows an email address to be registered on one PayPal account at a time.
Common questions about coupons and redemption codes
I forgot my email address.
I've been using PayPal but do not have a PayPal account. How can I sign up for an account?
If I used PayPal but don't have a PayPal account, how can I view my transaction history?
Can I use a coupon code I found on someone else's website?