No, it is not. It should be What 's your name? This does not even fall under the category of common mistakes.
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Odessa DawnI wonder if "What your name?" is common in AmE.The glide "y" in "your" affects the preceding consonants so that you probably hear "Whachore name?" (or maybe "Whashore name?") The effect of combining "t", "s", and "y" makes it sound like the "s" is missing. What's your name?