I can only assume that you mean" “Can a currently married man become a Latin Rite Priest?”
The answer is, yes he can, but it is very seldom done. In order to do this, both the man, and his wife, would have to vow not to ever live together, to not ever have marital relations again, the wife (and any children) would have to be provided for economically, AND then the church MIGHT grant a dispensation to allow the man to be ordained.
The vast majority of men could not provide for a wife, and still become a Priest (believe me, they are NOT paid enough to support a family). You would have to have substantial assets, be able to see to it that your wife (and kids if any) had adequate medical insurance, a decent living situation, etc. Or, the wife might have the assets to allow this to happen. Under no circumstance would the church allow you to abandon your wife, in order to become a Priest (or any kind of religious).
It is quite unusual for someone to even request this, much less to actually have it happen. In ancient days, it was more common for married men, and for married women, to enter religious life. But today, it would be a rather rare event.
But yes, it is technically possible for this to happen.