It should be clear that to an extent kissing the covering of Kaba is permissible given that it does not cause trouble to others. However, it is not permissible to kiss while causing trouble to others. In addition, person in Ehram should avoid it because the covering has fragrances applied on it and a penalty (Dum) is due when a person uses fragrance in ehram
Allah knows best
Darulifta Al Ikhlas, Karachi