According to the word "draw!" which is in both places (character ability + equipment description) it should be yes, in the flip order, until the limit of 6.
Approccio professionale a Bang? Prova le BANG! Utility
Professional approach to Bang? Try the BANG! Utility
Bang! Stats Database *Agg. The Duel 2015* e MyBang
Bang! Stats Database *Upd. The Duel 2015* and MyBang