You could do it, but why would you want to?
One cat = one point of failure and low launch rate. You could put two in the waist, but it's very cramped. You're also then compromising one of your prime parking positions for STO, in addition to needing the full angle for a CV recovery.
One or t'other. Otherwise you end up like a STOBAR carrier, with a relatively tiny deck park due to the large launch and recovery areas needed.