Yes, you can request for a second edu loan. Banks do have provision for considering another education loan although you are running an existing loan. The second loan is granted considering some conditions as in the first, that includes collateral and third party guarantor required. Since you already running an education loan for graduation getting a second a loan is little tough. Banks use discretion in allowing second edu loan. Added, they ask for margin money and collateral security requirement are dedicated and considering the second as the fresh one.