Of course! A lot of vegan eggs you’ll find in the market are made from soy, not wheat. The latter really isn’t a great source of protein compared to soy. That’s why you can easily find gluten-free vegan egg substitutes like Orgran’s Vegan Easy Egg!
You’ll come across products that clearly say that they’re made from soy products. Do be careful, still. As that might not mean they’re gluten-free necessarily. Always make sure to get ones that clearly state this if you have a gluten intolerance.