Nope.
What it might do is remove some of the resins that henna leaves behind. It may also make your hair look a bit lighter due to dryness (dry hair tends to look lighter, and baking soda is quite drying). It might even help remove the remaining bit of color that seems to be staining things for you, since it generally takes a few washes before the water runs clear, in my experience. But it seems to leave the henna color untouched for most people, myself included.
Make sure you follow up with an acidic rinse, like diluted vinegar. It will help keep your hair and scalp from being angry.
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