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May a Chasan who is getting married during Chanukah recite Viduiy during Mincha?
Yes. This applies even on Rosh Chodesh Teves.
 Rama 683:1; Maharil
 Rama ibid
Other customs: Some are accustomed to omit Tachanun starting from Shacharis of Erev Chanukah. [Ruach Chaim 683:2; Kaf Hachaim 683:6]
 Levush; Kaf Hachaim 683:7
 Pischeiy Teshuvah Even Haezer 61:9 in name of Kerem Shlomo; Piskeiy Teshuvah 683:3