No way to answer without a serial number.
The date of manufacture of Colt 1903 Hammerless .32 is 1916.(193000-234999)
about 1925
You can find out at Proofhouse.com in the Colt tables.
The 1903 Colt Hammerless .32 with serial # 137295 was manufactured in 1912. about 1913
Found a Colt 1903 hammerless with that serial number made in 1917.
1908,
about 1908
about 1909
1920
1917
Your 1903 colt hammerless 32. was made by colt in 1920.
1934 for the Colt 1903 hammerless .32.