Yes. – Egg Protein is allowed, in any amount, on the slow carb diet.
Recommended Vegan protein sources are:
Pure Advantage Pea Protein Isolate
Sun Warrior Brown Rice Protein
Nitro Fusion Plant Fusion (Rice, Pea, and Artichoke Protein)
These protein powders can be mixed with Almond Milk, or Coconut Milk and 1-2 Tablespoons of Almond Butter.