I'll throw this in.. I actually posted on /r/SkincareAddiction regarding omega 3s causing breakouts (mainly it's because it's 1000x more reactive in the body than other fats)..
I found that fish oil breaks me out if I mix it with other inflammatory foods.. like whey proteins, etc.. but if I eat it before a real meal I'll be fine. I personally use: https://www.amazon.com/OmegaVia-Pharma-Grade-Omega-3-Enteric-coated/dp/B00CJKJK1E/ref=sr_1_4_a_it?ie=UTF8&qid=1492488253&sr=8-4&keywords=pharmaceutical+grade+fish+oil
To answer your question.. You can skip it.. and you'll be fine.. but you should add some olive oil to get your omega 3s.. I would buy that one fish oil supplement I listed.. and eat it right before dinner (so long as it's a real meal).. my skin has still remained perfectly clear.. I used to get bad cystic acne when I combined it with whey protein..
Here is the link to the fish oil supplement that I take :) https://www.amazon.com/gp/product/B00CJKJK1E/ref=ppx_yo_dt_b_asin_title_o06_s00?ie=UTF8&psc=1
This is what I use: link I like that I only have to take 1 pill a day, hate that three a day crap.
It is rated well from labdoor.com
I think this is what he's talking about:
OmegaVia Pharma-Grade Fish Oil, Enteric Odorless/Burp-Free, 60 Capsules. 1105 mg Omega-3 - Highest Omega-3 per pill on Amazon. https://www.amazon.com/dp/B00CJKJK1E/ref=cm_sw_r_awd_7fdavb0C6QEC7
https://www.amazon.com/OmegaVia-Ultra-Concentrated-Omega-3-Enteric-Certified/dp/B00CJKJK1E
https://atplab.com/product/omega-3/
https://atplab.com/product/omega-pure/
https://www.amazon.com/Viva-Naturals-Omega-Supplement-Capsules/dp/B014LDT0ZM
Word of advice: whatever you end up getting, make sure it's pharmaceutical grade at least.