No it is not , they are two separate states, ones Northern and the other is southern
The last Sapa Inca of the Inca Empire before the Spanish conquest
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There as a Gupta Empire in today's northern India, but it did not have the same name.
Then there was the Khmer Empire, which it today's Cambodia (plus a lot more land), but the name is different (the name of the Language is Khmer though).
Then there was a kingdom of Singapora, in today's Singapore, around the same land.
Then there was a Melayu Kingdom -today's Malaysia and Indonesia
and Nam Viet, bigger than today's Vietnam