I would say yes. When I took fish oil pills for about a month, my hair was so greasy. I would shower in the morning and would feel like a needed another one by lunch time. My hair wouldn't hold a curl either. Once I stopped talking the pills, it took about five days before my hair felt normal again.
I have naturally curly hair and have been taking flax seed oil capsules for more than 2 years, and never noticed a change in texture until December or January. I think it has more to do with my area having less humidity than normal rather than the flax seed oil. My stylist agrees that it is the lack of humidity that my hair is used to that is causing my curls to be less curly and more wavy to straight.
It also takes more than a month for flax seed oil or anything ingested to show a positive or negative effect on hair.