Frottage is a zero risk event for HIV. Sexually, a penis MUST be inside a vagina or anus, unprotected, in order to transmit HIV. Since you stated there was no penetration, you aren't at risk, even with cuts or scrapes.
Your symptoms are not ARS since you had no risk, and there is no reason to test for HIV. Any test you take will be conclusive and negative, since you had zero risk. There is no information that you could add to this event that would make it a risk for HIV.