It's possible, but I don't have the experience to tell you if it is healthy or not. But, here are some veg friendly foods I really like:
-Cauliflower 'steaks' (thick cut and roasted, recipes abound online)
-Meaty, delicious mushrooms. Soooo many shrooms out there. It's a whole world to explore. Some have very meaty tastes. Mmm, some morels with asparagus, soaked in wine and with fiddlehead fern... I use a lot of mushrooms when cooking, because we don't eat very much meat. I can't believe I used to eat button mushrooms. XP Never again. Bonus points: can join a group and hunt for them locally.
-More mushrooms
-Can you eat avocado? Avocado coupled with tomato allows you to process more nutrients than eating either alone (something about the type of fat the avocado contains, I forget). Poor some balsamic vinegar and olive oil over that, and while you don't have a tricolori, you have a bicolori at least.
-How do goat dairy products treat you by the way?
-A lot of raw food pages might have recipes that will work with your restrictions. They always have them in the free flyer at one of our local grocers, and there are a lot of recipes in there made completely from vegetables, so give it a look see
-The bean one is tough. We make a lot of dishes using legumes.
-Things like bamboo shoot and cactus are a bit different, but add a lot of tang and flavor to dishes. MMmmmmm, cactus.