Hi @muxmux,
I don’t think that the EyeX SDK directly with flash as there don’t appear to be any compatible bindings, certainly one can create an application that sits on top acting as a type of mouse as you suggested.
There are already a number of premade applications that should suit your need. For example, EyeXMouse https://github.com/mikethrussell/EyeXMouse
more are available.