Yes. You could be a carrier of CF even if no one in your family has CF and even if you already have children without CF. About one of every 30 white people (about 3 in 100 or about 30%) carries the changed gene. If your family background is not white your chance of being a carrier is less than 1 in 30. For example, some Asian-American groups have carrier rates of 1 in 90.
If a relative of yours has CF, or is known to be a carrier of CF, your chance of being a carrier is greater based on your family history than on your ethnic background.