Hi, I would like to purchase quickbooks esstentials, start using it in Argentina, connecting it with our bank in the US and continue using it in the US, is it possible?

If your company is located in Argentina, you should purchase QB Online Global version for Argentina. You can access your account anywhere by internet connection. Open a trial account to check the availability of the feeds for your bank. 

https://quickbooks.grsm.io/South-America