"Can you clean and tidy the kitchen?"
Translation:Tu peux nettoyer et ranger la cuisine ?
yes. I think "Tu peux" makes this an honest question, maybe aimed at a 5 year old... "Are you capable of ..."
In English we often say "Can you"/ "Could you" when we really mean "I have no doubt that you are capable, and I want to you to, are you willing to..." , which is done in French just with a statement and intonation.