Yes Bank of America has Financial Center/branch in Lubbock, TX, on your demand here giving its address :

Bank of America
University Plaza
1901 University Ave
Lubbock, TX 79410 US
(806) 766-2600
Financial Center
Monday - Thursday: 9:00 a.m. - 4:00 p.m.
Friday: 9:00 a.m. - 5:00 p.m.
Saturday: 9:00 a.m. - 12:00 p.m.
Sunday: Closed
ATM
Open 24 hours

For more branches address of Bank of America here is process

Go to the Bank of America official website

Click on go option which given under location section on the top side

By click there you will land on its branch location finder page which look like given below