Question:
IF THERE IS NO FIRE AVAILABLE FOR NEIROS YOM TOV AND YOUR MINHAG IS TO LIGHT BEFORE THE MEAL WHEN ITS YOM TOV ALREADY CAN A GOY BE ASKED TO
LIGHT A FIRE
Answer:
It is permitted. The reason is that lighting a match on Yom Tov is a shvus (rabbinic prohibition), and it is permitted to ask a gentile to do a rabbinic prohibition for the purpose of a mitzva..
Best wishes
Sources:
Yabia Omer 2-26, The Sanctity of Shabbos pg. 117.