Everyone on the TNG crew graduated from the Academy at different times. It wouldn't have worked.
Data entered the Academy in 2341, a year ahead of Beverly Howard (later Crusher). Riker, Geordi, and Kathryn Janeway were all Class of 2357, and their first year (2353-4) overlapped with Ben Sisko's final year. Tasha Yar enrolled not long after escaping Turkana IV in 2352, so she was probably within a year of them as well.
There was a series of TNG young-adult Academy books back in the '90s, and IIRC they had Riker, Geordi, and Janeway knowing each other and Beverly and Data working together.
Worf is out of the question, since he entered the year after Riker etc. graduated. And obviously Picard is from an earlier generation entirely, graduating 30 years before his future first officer and chief engineer.
