NB: Of course during so many years there may be some minimal mutations, which doesn't change main identical resemblance of Y-chromosomes of fathers and their sons...
Possible. Because ~140 000 years for Sapiens' origin in my model, and Poznik et al (2013) say that:
"we estimate the time to the most recent common ancestor (TMRCA) of the Y chromosome to be 120 to 156 thousand years and the mitochondrial genome TMRCA to be 99 to 148 thousand years. Our findings suggest that, contrary to previous claims, male lineages do not coalesce significantly more recently than female lineages."
Article Sequencing Y Chromosomes Resolves Discrepancy in Time to Com...