Yes and no. There's no such thing really as a push or a pull in isolation. Every transfer involves both. In words of one syllable, an authority to pull *is* a push. OK, so I lied. All words but one were of one syllable.
If you prefer, though, one could perhaps use the existing push mechanism built into the credit/debit card system for the purpose of processing refunds. In that case, the payer would be the one burdened with having to visit his bank's mickey mouse centre, but would need to go armed with the payee's card details, which carries a slight potential security risk.