Yes, she can claim herself but it may be more beneficial (more money back) for you to claim her, if she qualifies as your dependent.
See Who can I claim as my dependent?
The IRS allows temporary
absences from home so dependents may
attend college out of city, state or county.
See What are Education Tax Credits?
See also Tax Exemptions and Deductions for Families https://turbotax.intuit.com/tax-tools/tax-tips/Family/Tax-Exemptions-and-Deductions-for-Families/INF12053.html