The short answer is no. The longer answer is, you may be able to get a .25 cartridge into a .22 caliber gun, but it will likely jam and be very difficult to get out, and if it fires, it will probably damage the gun and possible the shooter. The .25 has a larger diameter than the .22.
small .22 or .25 caliber handgun
$25 or so. Low value handgun.
25-65 USD
Small handgun
It depends on what you mean. If you mean the most ineffective caliber, it's probably the .25 ACP or the .22 short. Some .25 cartridges have less energy than some .22 shorts.
S&W never made a 25 ACP handgun for retail sale.
No published sn data.
50-200 or so
No
AFAIK, none. There were one or two importers in FL that sold 25 ACP pistols.
As long as it's the correct caliber, yes.
10-1000 USD depending on specifics