I would think yes with JuMP, since Gurobi (and CPLEX) are supported with JuMP:
Since those are both proprietary, then what I think you meant is can you use JuMP and only open source software for:
and I don’t really know. How complex/readable is this format? Is Gurobi’s .sol completely different, or somewhat or fully compatible with IBM’s CPLEX? Some other software might also be able to read it.
EDIT: It seems with free software, there’s something to read SOL (right format?), see:
I was shocked to see how expensive those solvers are and if you’re long for alternatives for that then I would first find software that can read the files or replace them in any language: