Yes, most likely. I say that as 1905 was a pivotal year and RI was just hitting it's stride of 125 rifles a day in Jan of that year. Then came the halt of production to address the rod bayonets which Theodore Roosevelt famously said: "I must say that I think that ramrod bayonet about as poor an invention as I ever saw". In addition the sights were changed and the approval of the switch to the cartridge model of 1906 (30-06) was in motion.
Rifles in military stores were converted, rifles issued continued to be used until the stores of 1903 ammo was depleted and the 1906 available I sufficient quantities. The rifles were all modified, barrels cut back and re-chambered, stocks altered for the new 1905 bayonet and sights replaced with the new adapted units.
It is estimated that less than 100 1903's survived in original form, almost 100% were altered. There are altered ones in existence and can be identified by a plug in the front of the stock tip where the rod bayonet once attached. Also, the barrel length was shortened by two threads worth and set back, roughly I believe 1/4 inch making the overall length 23 3/4" instead of 24".
Then there is the issue of the low serial numbered 1903's being unsafe to shoot due to over heating of the receivers during manufacture. In Rock Island production the cut off is anything under 245k I think it was. Springfield was 800k.
Hope this helps.