It could be. I have certainly heard of that. My (step) great grandfather's story is very similar - he bought papers to avoid the Czarist conscription. I had thought that they were papers of someone who had served, but it could also be an "adult" adoption. BTW, according to my mother (z'l) boys were subject to the draft at a young age - maybe as young as 10 or 12.
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Sarah L Meyer
Georgetown TX
ANK(I)ER, BIGOS, KARMELEK, PERLSTADT, STOKFISZ, SZPIL(T)BAUM, Poland
BIRGARDOVSKY, EDELBERG, HITE (CHAIT), PERCHIK Russia (southern Ukraine) and some Latvia or Lithuania
https://www.sarahsgenies.com