Not precisely, but the tables are based off the old Metropolitan Life Insurance tables that used to be posted on the wall of every doctor’s office. There are actually six charts, three per sex, and which chart you use depends on your body-frame size, which is figured off the length of your forearm, I forget the details.
The correlations between height and weight are based on actuarial data, so the weight ranges are descriptive, not prescriptive, in that sense, and the way Virta apparently intends them to work is that you find your height in the appropriate table, pick a weight that seems appropriate from the range, and from there, figure out where in the recommended protein range you fall. The protein recommendation is Virta’s contribution to the data; the Metropolitan Life charts were merely height and weight.