Not really, you will still have problems with pelagic fish. White perch and its relatives are designed to following pelagic baitfish such as alewife and shad. Put these pelagic fish in cramped tank they will bashed into the sides of the tank, if they feel nervous or not enough numbers of white perch. You will need a 1000+ gals to house a group of white perch. I have seen them in smaller tanks and their noses are always infected and bruised. I wont surprised if they are starving if you kept a single white perch alone.
Isn't they are also invasives and probably prohibited? I know the white perch are prohibited in Minnesota.