You can request a payment from someone with as little info as an e-mail address.
HOWEVER - personally I would not send goods to anyone who paid by Paypal unless they had a fully verified account (ie their bank details had been checked and passed as 'verified' by Paypal.)
Also be aware that buyers can reverse payment for a period of time using 'chargeback' - see here
So make sure you are protected before sending the goods, and send them insured/to be signed for.
My Gallery is here -