Yes, there are local restaurants like
Danjia Cate Village
Address: No. 4 at Beibu Gulf Road serving Guangdong, Guanxi, and Beihai cuisine
Getting there: Take bus No.8
Operating hours: 09:00 to 24:00

Guangdong Hongyun Seafood & Chicken
Address: No.5 at Haijiao Road serving Guangdong and Beihai cuisine
Getting there: Take bus No.2 or No.8
and pubs like
Soho Saloon
Address: Guizhou Road at the south of International Commercial Mansion
Getting There: Take bus No.7 to Guizhou Xiao Qu and then you can find the Soho Saloon.

M Pub
Address: Chating Road at Blue Coast Xiao Qu (Apartment Block)
Getting there: Take bus No.2, 3, 4, 5, 6, 7, or 8.
You may get more from Beihai Dining(https://www.travelchinaguide.com/cityguides/guangxi/beihai/dining.htm) and Nightlife.