Yes, but they're not all that common. Browning only made about 23,000 16ga A-5's, total, from 1936-40. And because they didn't differentiate between Standards and Sweets by serial number until 1953, no way to know how many of those were Sweet 16's. They made over 100,000 16's from 1946-53 (again, no breakdown Standard vs Sweet during that period), and another 110,000 Sweet 16's from 1953-76. So your odds of finding a short-chambered Sweetie vs 2 3/4" aren't very good. If we assume (always risky), based on the fact that roughly equal numbers of Standards and Sweets were produced from 53-57, that the same ratio held for the rest of the time the guns were made, that would mean there were about 15X more 2 3/4" Sweets produced vs 2 9/16".
