The good news is that yes, most of the time you CAN use an egg substitute.Most of them are easy to find too - either online, from a grocery store, or a health food store.
For gluten free breads without eggs, there are a few options… you can replace the eggs with applesauce, bananas, soy yogurt, vegetable oil, water or flax seed
Pumpkins are a very delicious treat, and often get overlooked. A third of a cup of canned pumpkin, is equivalent to one egg. It can be used for almost all baked products, due to its ease of use.