No story directly says how much she learned from her relationships however she has had access to very powerful and intelligent people. It is not difficult to imagine the Aunt May from the comic books has tech skills. I would say her association with tech geniuses do give her precedent.
In Miles Morales' universe Peter Parker is dead but Aunt May is still Peter Parker's aunt, so everything she experienced in Parker's universe is relevant. This is a parallel universe, everything is parallel unless they say it's different. The city name "New York" is still "New York," for example. We can say Aunt May's history here is the same as the 616 Aunt may until Peter died. We notice that the first thing Aunt May gives Miles is the best technology Peter had - his web-shooters.
Given her list of acquaintances, It isn't a real stretch that she would have superior technical skills. May has dated Dr. Otto Octavius (Dr. Octopus) and at one point they were even engaged, until Spiderman foiled the wedding. She has a hip implant he designed. She has also dated J. Jonah Jameson's father, the Mayor of New York City. While Peter was working with the New Avengers both he and Aunt May lived in Stark Tower. While there, she had a brief romance with Iron Man's butler, Edwin Jarvis. As it turned out, that Jarvis was actually a Skrull changeling. She had also dated Martin Li, who was secretly the crime boss Mr. Negative however she didn't know much about his alternate life.