We have two Half Haukkahs. There is the one from the parasha (Naso and Beha'alotecha) which feauture Hanukkah Torah readings culminating in tomorrow's Haftarah which is also from Hanukkah. In Israel, it was a week ahead.
The other Half Hanukkah is 25 Sivan through 2 Tammuz, the calendar based one, which begins a week from last night.
This year both Half Purims coincide since 14 Elul is Shabbat and the Torah reading ends with the reading of Shabbat Zachor.