Can I buy Azure subscription in my local currency?

Yes, Azure subscriptions can be bought in designated currency based on the channel through which one procures. All major currencies are covered for Open Channel as listed here. For CSP in Australia the billing currency is AUD. For Southeast Asia the billing currency is USD. For Korea the billing currency is in KRW. Refer to CSP documentation on the supported currency for the country in which you are signing the CSP contract.