The Paso Fino, like most other gaited horses, is the modern descendant of the "road horse." A good "road horse" would be able to handle the obsticles found on the generally poor quality roads of the Age of Horsepower. That would include logs, washouts, etc. This does not suggest, however, that they would make a good "jumper" that would be expected to regularly and frequently be taking fences.
I've seen Pasos that could canter without issue. I've seen others that struggled badly.
Paso Finos are relatively small of stature. While that does not make them a "bad" horse it does mean that they are likely to lack the bone and other structure necessary to carry a modern American (male or female) over fences as a matter of course.
While any one might do quite well as a breed it's not what they were bred to do.
So if it were me I'd not do it. I see significant risk and a minimal gain. As with all things, YMMV.