Whoops! What I meant was that if you do breed a hybrid with another pet, would you have a chance to obtain that hybrid yourself?
Yes, like any other pet there is a 50-50 chance of you either getting your pet back or getting the partner's pet back.
Although, if you were for instance have had a shadow phoenix and bred it with the storm lvl 58 pet, I don't think you would be able to get the Storm phoenix (or whatever it's called)