My guess - 'probably' OK. I've only done the opposite.
Most setups I've encountered involve at least a couple of spacers round the BB, so there is that much leeway if you omit some or all of these. We're only talking say 2mm each side. Plus, the way it works, if the axle is 'too short' it still all fits together, if 'too long' it doesn't. Very like a steerer tube and a aheadset - too short is better than too long, and extreme accuracy is not essential.