Absolutely not, not if there was no adult available all day long. If it was 8 hours or less, and the 13 year old had things to do (homework, a movie, some crafting, some exercising and something else sounds about right), it would be fine if it was just one day. But 2+ days and/or 1 long day of 8+ hours, and it would be an absolutely not, at least for me.