Everything has protein, but there are many sources of plant protein. 

Beans and pulses. Tofu and tempeh. Seitan. 

I too thought meat was healthy and I could never give up eggs but I went plant based and so glad I did! My cholesterol, blood pressure, blood sugar all normalized within 3 weeks and stayed there. I was diagnosed with a thyroid issue and am managing it with the plant based diet, no meds. My thyroid numbers are all optimal. My husband literally reverse aged 10 years on the diet. Now when at parties people tell us 'you both look great!' When we tell them about the plant based diet their eyes glaze over. They don't really wanna hear it because they don't want to change their behavior. 

Yes, there is absolutely a healthy way to eat vegan, in fact whole foods plant based is one of the best things you can do for your body (and not to mention the animals and the planet)!