For a very prolific company there is not a lot of info on H&A. They made a whole series of falling block rifles. What I can find indicates the 932 was .32 Rimfire, not .32-20. The 900 series was the small action.
De Haas says the did make the .32-20 in the medium size action, along with .32 Long CF, .32-40, .38-40, .44-40 and .38-55, plus the .38 and .44 Shot cartridges.
The large action was used mostly for shotguns; De Haas says they were made for large rifle cartridges, but doesn't say which exact calibers.
If the rifle appears to be in good shape I see no reason not to fire it, giving due consideration to its age.