Yes. If your income is too high to allow you to benefit from the credit, you can let your child use it. To do this, you must forego the dependency exemption you would otherwise have claimed for her.
A fixed deduction allowed to every taxpayer, except those who may be claimed as a dependent by another person. Extra exemption deductions are allowed for a spouse on a joint return and for each qualifying dependent. A deduction of $3,400 is allowed for each exemption claimed on 2007 returns, but the deduction is phased out for certain high income individuals.