Hi Kosher,
In general, in the West, No.
Married Lutheran or Episcopalian priests who convert to Catholicism can
get special permission to be ordained a priest and maintain their conjugal
rights.
In addition, married Eastern Rite men (those in formerly Orthodox
churches that have come into communion with the Catholic Church) can be
ordained priests in the home territory of the church they belong to. They,
too, retain their conjugal rights.
In general, they are not permitted to
be ordained in the United States, however, it is possible to transfer from the Roman Rite (the one
that predominates in the West) to an Eastern Rite church, and then be
sent temporarily overseas for ordination. I know several priests who have
done this. You would, however, serve in Eastern Rite parishes, which are
few and far between. There are also issues of your retirement. Technically
you would belong to the overseas diocese that ordained you and would only
be on loan to the U.S. diocese. Your retirement would come from the overseas
diocese and there are apparently issues with that.
I know of exactly one case where a married cradle Catholic was ordained
in the U.S. It depends on the bishop and the prevailing politics. The Roman
Rite bishops obviously don't get too happy when an Eastern Rite bishop
takes one of their potential vocations, or at least establishes a precedent
that gives potential vocations hope of being married priests in the Eastern
Rite diocese instead of celibate priests in the Roman diocese.
Eric
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