The full answer
Yes, especially if they have symptoms or risk factors
Children with digestive symptoms, poor growth, unexplained anemia, or a first-degree relative with celiac disease are generally good candidates for testing. Because celiac disease has a genetic component, children of a parent with celiac disease carry meaningfully higher risk even without obvious symptoms.
Testing works the same way as for adults
The process is the same as for adults — a blood test, generally followed by a biopsy if positive — and, as with adults, a child should still be eating gluten normally at the time of testing.
Important context
Individual symptoms, reactions, medical histories, food products, and local labeling rules can vary. Community experiences are not medical evidence.
For personal medical decisions, diagnosis, testing, or treatment, consult a qualified healthcare professional.