ABSOLUTELY!
I think it's awesome you like her enough to wear your baby, and awesome that you care so much for your baby to go that extra step for her/him.
My best friend nannied while in school for early childhood ed. and she wore the baby while she cared for the toddlers.
Baby wearing is convenient! It will help free her hands up too, so it's super practical for her if she is into it.
It does promote bonding but who cares if it's not the mom or dad! I let friends wear my baby. It's body-on-body, babies like bodies no matter who is attached to it. Tribal people wear each other babies. I to this date carry my son's best friend (they're 3 years old!) in front of my son, and they take baths together. I treat him like my own. I think it's good for my son to see me be shared with others. And I think it's awesome for a baby to know lots of people and feel comfortable with others. Baby wearing is creating social personality too.
I hope it goes well, I think it's a great idea!
(PS You may have to find the style of babywear that is comfortable for her. Personally, I liked slings over wraps.)