I think that could be interpreted. Statement + NO is the standard word order in ASL, but there would usually be a suprasegmental element. That is, the negation is also (or, sometimes, only) shown with a headshake which spreads over the entire length of the statement. Leaving out the suprasegmental, making it a flat statement, and then pausing before the NO might perhaps work. Maybe.
However, ASL also makes much, much heavier use of rhetorical questions than English does. You might even introduce yourself with "MY NAME WHAT? [NAME]" (i.e., "What is my name? [Name]"). So perhaps it would just look like you're doing that.
(Disclaimer: I don't know ASL. I know some Irish Sign Language, which is related, but dropped out before completing my interpreter training. I have a bit of a fascination with sign language linguistics, but I'm no expert.)
However, ASL also makes much, much heavier use of rhetorical questions than English does. You might even introduce yourself with "MY NAME WHAT? [NAME]" (i.e., "What is my name? [Name]"). So perhaps it would just look like you're doing that.
(Disclaimer: I don't know ASL. I know some Irish Sign Language, which is related, but dropped out before completing my interpreter training. I have a bit of a fascination with sign language linguistics, but I'm no expert.)