There are several credit unions and banks mentioned which can offer second chance checking accounts in MA. That means those financial institutions may not use ChexSystems or any other credit reporting systems while opening new accounts. As you know, you can apply for the special checking accounts online, so I also attached the websites of those banks for you here.
List of 2nd Chance Banks and Credit Unions in Massachusetts
These banks can offer second chance banking in Massachusetts and they do not use any ChexSystems services(Latest Listings here). But I can not guarantee that you can apply successful. So I provide so many banks in Massachusetts as alternatives for you.
Alden Credit Union: Chicopee, Amherst, South Hadley, Ma.
OneUnited Bank: Boston, Dorchester, MA
List of Other Banks and Credit Unions in MA
Cambridge Savings Bank
Address: Brookside Shops, 145 Great Road, Acton, MA 01720
Milbury Savings Bank
Address:109 Elm Street, Millbury, MA 01527
Rollstone Bank and Trust
Address: 780 Main Street, Fitchburg, MA 01420
Bank Of New Hampshire
Antrim Branch Address: 77 Main Street, 03440