yes that would be very cool
Selecting a partner

@NelsonMoore that would be two player chess with extra set of material ... the whole point of 4 player chess is that it is 4 players playing if it was just you against another player then there is no suspense of your team mate choosing his own move ... you know what happens you have planned it and it all becomes mechanical ...
Loving having the ability to select who you team with.
Was continually frustrated with some random partners.
Playing several games in a row with the same person and learning together was so much better an experience.