If the wind is coming at you, No, it would make the fire weaker. It also depends on the rank, if its a c-rank wind, then the fire would be weakened to a d-rank fire. If its a b-rank wind, then the fire would be canceled.
If the wind is going away from you and you quickly add the fire then the fire would combine with the wind and become stonger. Although for fire/wind combo, it is always advisable to use fire first, then enhance it with wind since wind is faster than fire. If wind is used first, the fire that comes after might not be fast enough to catch up and combine with the wind. Hope that answers your question?
Throw forward a lighter or a match that has already been lit. Then focus your fire chakra into it and expand the fire into a wall of flame infront of you.