Can a male get herpes from receiving oral sex over boxers from a female who had a break out 4 days after on her lip. Cotton Boxers for about 1 minute?

No risk, no worries. Herpes or other STDs are not likely to be transmitted through fabric. And even entirely unprotected, your risk was low: it is unlikely your partner had active virus present 4 days before her outbreak.
Possibly. Cotton fabric is not a good protective barrier for viruses.