Yes, being out of work does not usually prevent a parent from claiming Child Benefit, provided they are responsible for a qualifying child. You can normally claim until the child is 16, or longer if they remain in approved education or training, subject to the rules. Only one person can receive Child Benefit for each child, and a claim may help protect National Insurance credits towards a State Pension. Check the eligibility rules and apply through the official GOV.UK Child Benefit page, especially if you or your partner has a higher income.