A Qjet wont fit the 1962 Corvette intake due to the large secondary throttle blades, you will have to find a proper Qjet intake to use a Qjet on your engine.
The best choice would be a 1969 intake with a 1969 Chevy Qjet, but any Chevy Qjet with divorced choke could be modified/calibrated to work.
Original carb for 1962 Corvette w/MT is Carter AFB 3269S (Service carb 3721SA) and 3310S (Service carb 3720SA) for AT.