They might be interested if it is for debt consolidation (i.e. you are moving your credit card debt and other debts to a consolidated loan they offer you).
Banks are a business that specifically manage money so they can make money. If they believe that they can make money off of you, they will issue the loan to you. They might ask for certain assurances though. This might include collatoral or even cancelling your credit cards.
As for the interest rate, that is dependent on your credit rating, debts, assets, etc. However, keep in mind that the loan would have to be a lower interest rate than your credit cards to make it of any interest to you.
Best of luck