Some will others won't but do call the office and see if they will accept a gift of an item/sealed food (must be store bought food item or it goes in the trash due to they don't know what's been added in to it )
I gave our dr cookies from the baby shower (f1 t-shirt with our son's name), and favours from the baptism and his first birthday.
If it’s something small as you say then I think that’s fine, a lovely gesture. If it’s something expensive they need to declare it.
Sounds like something I would do. Can call and ask the receptionist at the office if they accept gifts to be sure