I have not seen any suggestion or study that baking soda is good against bed bugs, although it is hard to conceive of anything that would be as safe. I hope you will read about other dusts that are considered effective. There was a recent article that we discussed here on the effectiveness of several desiccant dusts. You can read the results and see the article itself.

A note, however, if you do consider these dusts, in particular DE (diatomaceous earth) which is inexpensive and easily available, you should consider only the type of DE that is suitable for insect control, frequently labeled as a pest control product or as freshwater DE (sometimes described as food-grade but just as frequently laced with other products that make it problematic to say, ‘get food-grade DE’ — hence insect control DE). Other types of DE, like pool filter DE, are inappropriate and dangerous.

Best wishes in your bed bug fight.