If speaking, is it grammatically incorrect to say in response to “How are you?” that I am “starving, currently.”
Why is that wrong, the implied "you" is still associated to the verb...?
Not a teacher.
If you're speaking, then you can leave out the reference to yourself. It is not grammatically correct when writing, but many rules get bent when you speak. We speak this way all the time over here:
"How are you doing?"
"Oh fine. Hungry, though. You?"
"Hungry, now that you mention it."