Yes, if they administer only the unit dose. If, however, the unit dose is manipulated (e.g., normal saline is added to the syringe to dilute the contents), then USP <797> standards do apply. Note: nearly all such manipulations can likely fall under the immediate-use exemption.
USP does not apply to administration. Dilution with normal saline, whether in a vial or in the syringe, is considered compounding under USP . However, this can generally be performed under the immediate-use exemption. Remember that the key components of the immediate-use provisions are the avoidance of touch contamination and administration within 1 hour.