Here’s who can — and who should — get COVID shots in Mass. Maura Healey, whose administration split from the federal government this week and issued its own recommendations for COVID shots. State officials said that pregnant people should be vaccinated to protect themselves and their babies after birth. A group of western states — California, Oregon, Washington and Hawaii — have issued their own COVID vaccine guidelines. In Massachusetts, state officials issued a standing order this month for pharmacies to make COVID vaccines available.