It depends on which engine you are interested in, which trans [M20, 21, 22] when the car was built, and which plant it was built at.
Each model category has its own set of variables. For example Z/28s were in high demand but production was constrained by engine supply. DZ engines were not assembled every day at Flint. Engines were usually consumed in production within 10 days of arrival. However Van Nuys was a much greater distance from Flint than Norwood and they seemed to have more [older] DZ engine inventory. An 03B VN Z/28 generally has an older engine than a 03B NOR Z/28. Also, we have reason to believe that on occasion all DZ engine production on a given day was sent to one plant or the other-most shipments were split between the two.
Camaro SS is a different story. L35/L48 engines were probably built and shipped daily; no need to have a lot of inventory. L34/78/89 engines were not. They were built in small batches and inventoried. Some sat around for a month. Not unusual to see a May SS 396 car with a March engine; you would virtually never see a Z/28 like that.
M20 and M21 transmissions seem to have been in continuous production and in general flow with production. But again, Van Nuys seems to have maintined some inventory-not unusual to see a March Z/28 with a January trans. M22s were probably not built daily and each plant had a small inventory. Those can be farther off than 20s & 21s. It is apparent that when Chevrolet continued '69 production at Norwood, other plants sent their '69 Muncie inventory to Norwood. We have many Aug/Sep/Oct '69 Camaros in the db with June & July transmissions.
COPOs are really random. Not at all unsusal to see cars built the same day to have engine dates 5 weeks apart.
Here's the cherry bomb in the pond. Our 06E '67 Z/28 project of 24 years ago was a 2 owner car with POP, original drive train. Engine V0706MO, trans P7H23, axle PU0320, alternator 6L29.