I highly doubt there is or even could be a built in function for exactly what you are looking for. I think though that you could design something where you can approximate that. My thought is get something modeled as close as possible to the way you think it would be after it has already "sprung back" and add a force big enough to get the deformation to the fully rolled state. That may be easier said than done though.
One way to investigate springback in metals is to set up a Nonlinear study with an elasto-plastic material model in SOLIDWORKS Simulation Premium.
Take a look at the following for reference:
B. Help > SOLIDWORKS Simulation > Tutorials > SOLIDWORKS Simulation Premium > Nonlinear > Snap-Through/Snap-Back of a Cylindrical Sheet