Yes, there are several Korean barbecue restaurants in Boston that offer private dining rooms. Here are a few examples:

• Korean Garden BBQ - Located in the heart of Boston, Korean Garden BBQ offers private dining rooms for groups of various sizes. Their private rooms are equipped with grills and allow guests to enjoy a personalized Korean barbecue experience.
• Kang Ho Dong Baekjeong - This popular Korean barbecue spot in Boston also has private dining rooms available. The rooms are spacious and can accommodate larger groups, making it a great option for special occasions or corporate events.
• Seoul Soulongtang - While primarily known for their delicious soups, Seoul Soulongtang also offers private dining rooms with barbecue grills. This allows guests to enjoy both their signature soups and Korean barbecue in a private setting.

It's always a good idea to call ahead and make a reservation to ensure availability of the private dining rooms.

For more information, you can visit the official websites of these restaurants:

1. Korean Garden BBQ
2. Kang Ho Dong Baekjeong
3. Seoul Soulongtang

Enjoy your Korean barbecue experience in Boston!