It's not from the chlamydia, and it depends on the kind of lump on whether or not it's another STD. If it's under the skin, it's not likely to be an STD. If it's a sore on the skin, it could be herpes.
Have you talked to your doctor about the lumps? Your doctor really should check them out to see what they are. They may be infected oil glands, or something along those lines, and may require antibiotics to clear up.