This can be done, with a little legwork on the minister's part
beforehand. The minister will have to contact the state of Nevada and
become certified to perform marriages there. In the case of
non-resident ministers, Nevada requires certification from the
minister's county that he or she is an ordained minister. Since the
Universal minister will have been ordained on the Internet, this is
probably not necessary and a quick check with Nevada authorities can
solve the matter. Universal Life Church marriages are indeed conducted
on a regular basis in Nevada, and even at the Burning Man festival:
"If your officiant lives outside Nevada, you and your fiancÚ will need
to give that person both your full names and address(es) so that s/he
can obtain written permission to marry you. It will probably take your
officiant a few weeks to secure this permission."
Getting Married at Burning Man
From the Nevada state website itself:
"Any licensed or ordained minister in good standing within his
denomination, whose denomination, governing body and church, or any of
them, are incorporated or organized or established in this state, may
join together as husband and wife persons who present a marriage
license obtained from any county clerk of the State, if the minister
first obtains a certificate of permission to perform marriages as
provided in this section and NRS 122.064 to 122.073, inclusive."
There are no restrictions on nationality or anything in these statutes.
If you need any more clarification, let me know and I'll be glad to help.