Maybe not since I got to compare them. Can you measure the diameter of the bullet? Looks a little larger than 32.
Comparing the size of the cartridge to your fingers, I'd say it might be a .41 short rimfire . These were used quite a bit in small single and double barrel pocket pistols from about 1870's until the early 1900's.
View attachment 1748144
https://truewestmagazine.com/a-41-derringer-barks-again/