Can having, lets say, 7 mosquito bites (not big ones) at the time of a cmp test that checks for total protein and albumin, increase globulin levels?

Could be normal: I need to see the type or types of globulin that are elevated, each type, if elevated has a different group of diagnoses associated with it. If you only had one type tested, you need to get a set of quantitative immunoglobulins measured, and reviewed with an ID doctor or your internist. Exposure to mosquitoes is usually not a cause for worry, but if you are febrile or have symptoms, see a doctor