Yes - you have CD8 and CD4 T cells apart from the B cells that make antibodies. These adaptive immune cells routinely react to self-antigen and are then destroyed for doing so. Auto-immunity usually results from a failure of this filtering.

Usually in auto-immunity the CD4 cells coordinate a CD8 and B cell response to self-antigen, so the antibodies aren't super necessary. Theoretically, you could have an autoimmune reaction without self-reactive antibodies, but this would be uncommon.

Neutrophils are part of the innate immune system, which is rarely self reactive because its behaviour is genetically defined.