You can always install a 2nd, totally different sound card in all cases, even if not compatible…just as long you’re only selecting/using ONE at a time. In this instance, they can each use their own audio drivers.
In cases where you want to use BOTH sound cards at a time with say Cubase (as in simultaneously) then they would need to be using the same ASIO audio driver …unless you’re piggybacking one card to the other, for say more I/O’s via a digital audio connection. I can use multiple audio interfaces in my machines simultaneously because they are the same manufacturer, using the same drivers.
It sounds like the 1st option is what you want if I understand your post correctly…that is IF you are planning on using two different sound card/interfaces. But there may be other ways to do the same thing, with using just one sound card. Anywhere from simply physically swapping out your headphone & speaker systems, to using selector switches. There are various selector switching systems available…or you can build your own custom selector switch. But keep in mind that, unless you have some kind of special circuitry, when switching speakers, you’ll need to turn the volumes OFF or you’ll hear a large ‘POP’ sound and may damage your speakers. But a 2nd sound card could be done just as well, and you’d simply select the audio device you intend on using when you need to.