Yes, you can! Though bad credit is not a favourable status for getting a personal loan, it is completely not impossible. There are NBFCs and website lenders who are ready to offer a personal loan based on other eligibility criteria such as income, employment and social media profiles. You can approach one of them and successfully get a personal loan. The sticky part of it is you should be open to accept high interest rates on your loan.
Having no credit is no more a hindrance in getting a loan. Now most of the banks have come up with score-builder loans especially for people like you. You can also get better loans from website lenders and NBFCs even with no credit.