I don’t think so. What do other people think?
My view is based on several factors, one of which is that a large part of Bengal is within India, so the variety of Indian food includes foods from Bengal, which shares common characteristics with many elements of food in Bangladesh.
Also, India itself has many varieties of food, from Punjab to Tamil Nadu, so it is difficult to define what constitutes Indian food.
If one tries to define Indian food, then excluding Bangladeshi or Pakistani food from the definition would be impossible to achieve.
Based on eating Gujarati vegetarian, South Indian Tamil and Malayali, Indian Punjabi vegetarian and non-vegetarian food, and eating vegetarian biryani in Delhi, rice and curry in Kolkata, Lahori chicken tandoori and nan/kebabs, as well as South Indian food in a restaurant in Singapore, I can confidently say that there is no such a thing as Bangladeshi food that is distinct from Indian food.
From my experience of tasting food from different regions of the Indian sub-continent, I can confidently assert that, whether vegetarian or non-vegetarian, there exists a commonality between foods of all the regions in the Indian subcontinent – Bangladesh India, Pakistan and Sri Lanka, and there is no such a thing as Indian food distinct and different from Bangladeshi food or for that matter Pakistani food.
It is best to try not to find unique distinctness where there exist none.