BMI and BMR it might look similar, but they stand for two separate things.
The BMI; body mass index, is the amount calculated from your height and weight which is then used to assess your body composition.
The BMR; basal metabolic rate, is the number of calories you burn when your body is at rest.
So the 2 terms are independent to each other, and from person to person. So your BMI may indirectly affect your BMR.