Yes. Technically, legally, you can change the name of your child, adopted or biological, at any time before they are 18 - although after a certain point, if the child is unwilling, no judge will allow it.
My mother is adopted as an infant, and her parents changed her name. While she is happy with her adoptive name, she named my middle name after her original birth name, as a way of honoring it.
I have a good friend who was adopted at age 16, and who was given the option by her adoptive parents to choose a new name for herself if she desired, which she did.
I have a cousin who was adopted from Korea as an infant, and her parents changed her original (ethnic) name (which I do not know) to a very American sounding name. She has no problem with her name or the fact that it was changed.
I have no personal feelings about renaming adopted children, other than that if the child is old enough to know their own name, they should be given input in such a decision.
Source(s):
Family member and friend of many adoptees