Yes, kitten can sometimes cause cat-scratch disease which can show up in 3 - 10 days after the scratch.
It looks like a red crusty bump with or without pus
. Important to look for lymphnodes on the side of the scratch, at the elbow, underarm or neck, if on the leg, look around the groin. The lymph node can become tender and drain. Your child can also run a fever
. Prognosis is good with antibotics.