It's irregular, but yes ma'am. I think it could be wise to gather together active or former SHIELD when people are more settled.
Avengers Academy is a university that Director Fury started in 2016 for reasons that are opaque when they're not outright classified.
I mean it's not accredited in a traditional sense. At least not in a way that anyone below Cosmic CL can verify. But it's a military training academy located in downtown Manhattan that serves as a feeder school for S.H.I.E.L.D. and costumed heroics. It runs a lot of interference between other super-powered and advanced STEM schools as well as inter-dimensional convergences.
Why would someone want to put off that work when they could get in young?