A couple of things to consider:

What pressure do you run your tires at? A 'road' style mini pump can hit 80-90 without a lot of problem. A pump designed for fat mountain bike tires won't hit anywhere near as high. Always assume a pump cannot do all that it is rated to do. If it says 120, figure you can probably hit 80-90.

If you have a pump you are asking about, pull a wheel off your bike, let the air out of it, and then pump it up with the mini pump. It is better to find problems at home than on the road.

Good luck and God bless!
Wayne J.