可以,could更显礼貌.can显随意.我建议用could,因为你是第一次与陌生人交谈.但你的句式错了,少了一个引导词.引导宾语从句,应该是 could you tell me what your name?和can you tell what me your name?是Can you tell me what is your name？和Could you tell me what is your neme？但一般生活中我们用的是What is your name？不用