It really depends on the weight of the card stock.
Guillotine-style paper cutters generally were designed to cut paper rather than card stock. They could handle a limited number multiple sheets, but the limitation was poorly defined and tended to diminish as the cutter got older, so it was entirely too easy to have a problem with too much paper. There were (and I suspect still are) heavy-duty commercial cutters that would work better.
My paper cutter is probably 40 years old, and I'm not even sure that the store where I bought it is still in business.
You didn't describe what you are trying to cut, but my experience is that a han-held rotary-style cutter (eg, Olfa) combined with straightedge and one of those plastic cutting matts might be the best solution. You can buy the cutters in stationary stores, but I found that they were more readily available and at better prices in shops that sold sewing supplies because they are commonly used to cut fabric.