Hi missy_bride_to_be,
Of course you can do so. Dates selected by Bazi override the tong shu, hence there is no need to check the tong shu when it is out. Authentic date selelctions, whether be wedding, move in, start reno, start business etc, don't rely on the tong shu. Tong shu is for mass consumption only, not to individual. Bazi date selection for wedding, factors in both your bazi to personalised the good date to both of you only. Tong Shu doesn't factor in the Bazi, only the animal zodiac sign, which is too general.
Hope this helps.