Yes, you can. You must first open an account with Krungsri Bank. Then you may apply for a credit card. However, you must place a collateral credit limit on your deposit, which is locked (you cannot withdraw). Normally, the bank will provide an 85% credit limit against your deposit.
For example, if you deposit THB 100,000 into your savings account (which is locked by the bank), your credit card will have a credit limit of THB 85,000.
This facility is not available at other Thai banks.