Can neutrophils decide to be autoimmune?

No, because they don't have adaptive receptors targeted towards self antigens.

It is important not to confuse autoinflammitory with autoimmunity. Autoimmunity is based on either T-cells or B-cells (or plasma cells which are derived from B-cells) having their characteristic adaptive receptor (B cell receptor or T cell receptor) strongly bind to specific self antigens.

Note that T-cell autoimmune diseases are still hypothetical.

(More specifically, no one has characterised the T-cell receptor repertoire and demonstrated close to 100% sensitivity or specificity for a T-cell receptor subset for any disease - anyone claiming I am wrong is going to have trouble citing proof). T-cells undergo a strong selection process in the thymus to prevent autoimmunity, whereas no such process occurs for B-cells. B-cell autoimmunity doesn't necessarily need T-cell autoimmunity either.

Whereas all currently well-characterised autoimmune diseases are either B-cell diseases (associated with autoantibodies) or are in fact autoinflammatory, rather than autoimmune diseases. For example the Arthropathies do involve self-reactive T-cells but this self reactivity isn't primary driven due to self-reactive T-cell receptors, but rather they are causing inflammation regardless of what the T-cell receptor codes for.

There are parenoplastic diseases (T-cell cancers) that can rarely be autoreactive but these are extremely rare and the primary disease is the cancer.