Not exactly... The BB interface determines the size of the BB which you can fit in the frame, the width and the 'fitment' type - the size/type of screw (standard BSA) or the size of the press fit cups. Once you have that in place then you need to match the size/type of cranks to fit, in your case which size crank arms to fit on your 'square taper', in pressfit's case the width and size of the axle (usually attached to crankarms). Once you have the BB and cranks in place then the chainset kinda fits to that. In most cases the cranks in use will determine the 'chainset' (chainrings) you can use.
So frame determines BB, BB determines cranks, cranks determine chainset.
There's a handful (at least) of each type so there are probably close to a hundred various different combinations depending on age, brand and even what country it was produced and by whom.
The vast majority these days are pressfit as the main manufacturers consider it a modern technique (it makes their life easier), but you'll still find many small frame builders and people wanting frames with threaded BB's to avoid much of the stigma and 'creaking' issues some have seen with pressfit. You'll even find adaptors to use threaded BB's in pressfit frames.
