will a 4l60e transmission work in a 1982 corvette with a 700r4
No. The 4L60E is based on the 700R4 but is fully electronically controlled. You would need an ECM to make it work. 700R4’s are cheap and plentiful, so finding a replacement shouldn’t be difficult.
No, it wont.
Is it even legal to think about non-Corvette parts in a Corvette? (just kidding).