No, our school would not. Not for a child in reception and certainly not when then child is just beginning their school life
How judgemental you sound.
Our school allows older children to do this op, my friends son does it as he is a young carer - she is disabled and parking is very difficult at school so he walks his DB to the nearest car park for her. Ask at the school and explain your situation, if the child is sensible I can't see why not.