Massachusetts has some laws that have LabCorp (one of the big blood labs) temporarily discontinuing testing, leaving Quest Diagnostics as the only blood lab that works with the companies that allow consumers to order bloodwork. And I only know of two such companies:
Life Extension will let you place an order as in other states, but will end up mailing you a blood kit. I've been told that if you contact their customer service, they will point you to local service to have it drawn. I think you'll have to pay for the draw services.
If you're near the border of another state, it could be worth doing a price comparison with the providers mentioned on my individual test pages, since many of them only care about the state in which the blood is drawn.
That's all I'm aware of for Massachusetts. If I've missed anything, please let me know in the comments so I can improve the page.