Yes, working part time does not by itself prevent you claiming Child Benefit if you are responsible for a qualifying child. Your employment income may matter for the High Income Child Benefit Charge, which is based on your adjusted net income and can apply even where you work reduced hours. A claim can also provide National Insurance credits, which may help protect your State Pension record if you are caring for a child under 12. Check the latest rules and make a claim through the official GOV.UK Child Benefit service.