Pharmacies are open from Monday to Friday from 08 AM to 07 PM (plus a lunch break from 1:30 PM to 4 PM) except on Sundays. Also, they are closed on Wednesday and Saturday after 2 PM. Designated pharmacies (assigned on a daily basis) stay open throughout the night usually until 11 PM. After 11 PM they are obliged by law to open in case of a need upon receiving a phone call.
You can find the nearest pharmacy here https://www.cypruspharmacy.com/