There is much discussion on this topic elsewhere.
Short answer is yes, because the body tag date is not necessarily when the car was built. The body tag was date-stamped when Fisher Body produced it. Construction of the body assembly usually but not always immediately followed. Our business had a '67 Z/28 with an 06E body tag and a July 6th engine. This car was done in the early '90s before all the nonsense. Block was VIN-stamped and original; car came with protect-o-plate.
For the most part the engine pre-dates the tag [1-6 weeks] but there can be some big gaps especially involving low-volume engines. L72 '69 Camaros have big variation; 2 cars with the same tag date are known to have engine dates 6 weeks apart. Engines were not issued by build date either - an 02A Z/28 may have an earlier dated engine than an 01C Z/28. I have a db with over 600 69 Z/28 engine dates by VIN and while they do roughly flow over time there isn't much predictability.