Is Vegan Gluten Free?

Howdy! I’ve been contemplating going vegan for a while now, but I have a question that’s been bugging me. Is veganism gluten-free? I know that a lot of vegan foods are made with grains like wheat, barley, and rye, which all contain gluten. But does that mean that all vegan food is off-limits for those with gluten sensitivities or celiac disease? Any insight would be greatly appreciated! Thanks in advance.