If you are taking in those fatty acids at much higher levels than the recommended dosages for a balanced diet, then yes.

Every food component you eat will have negative effects at higher dosages, just like eating too much fats, carbohydrates and protein causes eventual problem. The same is true for every micronutrient, bare a few that will just cause diarrhea if overdosed like vitamin C and prevent absorption of systemically toxic amounts.

The exact risk obviously varies massively, something like omega3 won‘t cause as much trouble as overdosing on Vitamin A for example.