No. A shop vac in comparison to a vacuum pump, moves a higher volume of air at a lower negative pressure (vacuum). A vacuum pump moves a low volume of air at a high negative pressure (vacuum). There is no good way to connect a shop vac to the DIY build and even if you did so, the results you would receive when vacuum forming would be of poor quality. We do not recommend using a shop vac at all. We recommend purchasing a vacuum pump, even if it is a cheap one, over trying to use a shop vac.