The simple answer is No. Real vinyl will produce chlorine vapors and form acids when burned by the laser. Those acids will eat your electronics in the GF - even with just a little cutting.
The complicated answer is “it depends”. There are materials called “vinyl” that aren’t in fact vinyl. The most common one you’ll see here is vinyl transfer tape which is used as masking. That’s actually originally used to allow the easy transfer of vinyl decals to another surface (like glass).
You need the SDS (used to be called the MSDS) for the material to see what the combustion byproducts are. If chlorine or hydrochloric acid are listed you don’t want to use it.
You can also do a burn test by heating a copper wire, touching it to the material to melt a blob of it in the wire end and then burning the blob with a propane torch - green in the resulting flame indicates chlorine in the combustion gasses.
The test and the SDS/MSDS info is useful because the other situation is also true - materials not called vinyl that are. A common one of these is faux leather products (PU Leather or pleather). It’s really vinyl and not a leather of any kind. Another one is the craft clay sold as Sculpy or Primo - polymer clay.