Question

Depends... but I'll say "Yes." Not knowing your goals, your progress, or anything else about your diet, in general I recommend bodybuilders get 1.5 - 2 of protein per kg of body weight (depending on their ability to process effectively.) So, currently, you are consuming approximately 36 - 64g protein per day (assuming you're eating whole eggs and I'm reading your question), and that puts you at the low end (1.4g/kg) on you HIGHEST day. Start by adding 5-10grams per day. Evaluate how you digest it, and how you respond (i.e. if you're getting stronger or fatter) over the course of a month. Then increase, maintain, or decrease accordingly.

If you are asking about supplement protein, then that's really up to you. Real food is always better for a variety of reasons, but as long as you are getting a quality protein supplement that will work too. Just don't rely on supplements.