No, she cannot just pack up with your daughter and leave for CA without your consent.
If you are paying child support, have a close relationship with the child, as you appear to do,
The Court will not allow your spouse to take the child so far away and interfere with your relationship with the child.
If you are living in the NYC metro area, call me to arrange for a meeting to discuss mediating this matter.
Leonard Weiner, Esq./Divorce Solutions