You can definitely do this. You could even use versa works. But, you won't get the advanced error correction you would with a summa or graphic. That being said, we did just what you want to do for years in a high volume environment without any issues, once we figured out what worked the best.
We were pioneers of print and cut. 15 years ago we were cutting prints off of our arizona 180s solvent dinosaurs on our roland aqueous print/cut devices. We took the crop marks that the roland cj's printed, and recreated them in illustrator. Set them manually in a rectangle around the graphic, put a cut path and art inside the rectangle and printed the job. We then loaded it in our roland and sent the job to roland color choice (predecessor to versa works) and chose cut only so that the machine thought it was getting a print it had just printed that was removed for lamination then reloaded.
Now we cut on graphtec plotters with real recognition and error correction, but we actually held on to one of the rolands until just last year for a backup and it worked just fine in concert with our latex printers. Not perfect like the graphics, but it sure worked and no reason why for your application it's not al least worth trying before spending big coin on a better plotter.
Yes, there are some heat deformation issues with latex, particularly with the el cheapo vinyls, but for oracal 3651 this system will work just fine for you.
