Yes there are three exemptions:
1. Thin-film plastic bags used to contain dry cleaning, newspapers, produce, meat, bulk foods, wet items and other similar merchandise, typically without handles;
2. Any flexible transparent covering for uncooked or raw meat, poultry, raw fish, hard cheese, cold cuts, fruit, and vegetable products, baked goods, or bread;
3. Thin-film single-use plastic bags under 3.0 mils purchased prior to April 1, 2015, and used before July 1, 2018.