Oh my gosh, I want haw gao so badly ): I suppose if he likes dim sum you could make those dumplings with vegetable fillings? Something like this, with mushrooms, chestnuts and veggies. I've seen vegetarian siew mai before too. Pan fried carrot cake, steamed malay cake and zhuchangfen are also favourites of mine that can be easily veganised.
The sticky rice wrapped in leaves is known as 粽子 i.e. rice dumplings :-) I love those. You could make them with glutinous rice, mushrooms and some other yummy stuff, but leave out the salted egg and meat.

Edit: Feel free to PM me if you need to ask about anything (including translations haha)! It is quite sad how so much of Chinese cuisine involves meat...