balls'n'all, sorry, no.
There are no direct stack slots support in PartyCaption, therefore, all operations with stacks there are only partially possible.
As I wrote above, you can use Table manager 2 in StarsCaption for this. If you will not play at PokerStars at the same time, then you don't need a license for StarsCaption - you can use it for free for these purposes.
Also you can try to use a virtual stack mode in Table manager (in PartyCaption) to organize tables. In this mode you will see only one table at a time (like in stack), but all other tables will be presented as table miniatures like here:
See Stack 22 config in Table manager as example.
You can make miniature slots of different sizes (big and small) and drag tables between them.