No. Because they create safety hazards at the recycling facility, plastic bags (grocery, newspaper, bread, food and snack, produce, and dry cleaning bags) and plastic packaging (case, pallet, and furniture wrap; napkin, paper towel, diaper packaging wrap; and beverage case wrap) cannot be put in your curbside bin.
Recycle them in the drop-off bins at grocery stores (Shaw's, Market Basket) and other retail outlets (Target, Lowe's, Kohl's, Walmart, Staples). They accept and recycle this plastic, even if you did not purchase it at their store.