It will be different, Ranking only on the basis of GDP per capita is measuring the wealth of the individual in the nation. Some nations can be very rich and they will be ranked very high in this list, but ranking on the basis of HDI wil also take the average life span and litracy level of the nation into account which can be low even for a highly rich nation. Example, middle eastern nation.

Its similar to comparing just wealth and overall welfare of an individual.