To be precise, one needs to know what "normal" means.
Normal is actually a function of two measurements (for example, hemoglobin level and number of people sampled with said hemoglobin level). This generates a bell-shaped curve.
The graph of the normal distribution gives us both the mean and standard deviations from the mean. If the standard deviation is large, the curve is shorter and wider. If the standard deviation is small, the curve is taller and narrower.
For example, if one measured 500 American males at 30 years of age who were 5'10 inches tall, your curve would look something like this:
where zero (the mean) might be 177 pounds. Including one standard deviation above and below the mean would represent ~68% of the population. Some will be thin, some will be heavy; they will fall outside this 68%.
If the same measurements were taken in Africa, for instance, where there is a difference in diet and body habitus, then the mean might be 134 pounds.
So, yes, it is possible to have different "normals" for different countries. However, that does not mean the same thing as "healthy" or "optimum".
By and large, human beings are human beings, and what is regarded as healthy for an average person in Europe should be the same for an average person in India.
There are exceptions, for example, sherpas in Nepal have a lower number of red blood cells compared to lowlanders who must accommodate themselves to lower oxygen in the highlands by making more red blood cells. This is a result of selection for a gene that regulates red blood cell production in the low oxygen of the highlands, with other compensatory mechanisms.