Yes. You can configure tax for a country outside of your region in Chargebee. To do this, use the “Customized Tax” tax type (Chargebee web interface -> Settings -> Site Settings -> Taxes -> Tax Type) for this. Download the sample CSV file and specify the tax rates for each region. Once you’re done, upload back to Chargebee.
Here's how you would fill the CSV file:
So when customers sign up, depending on their country, the appropriate taxes will be applied.
If you would like to add more countries with different tax rates, you could just add them to the CSV file. Here's more on taxes.