No, Mrz, it won't. It doesn't work like that.
Every May/June the Local Authority puts the transport contracts out to tender. The various companies compete to fulfil the contract.
Once the tender is decided, the contracts are issued.
The relevant companies then look at the areas they cover, the locations of the children, and decide which children can be 'grouped'. If there are only a few children in a wide area, they tend to pick up from the doorstep. If there are a number of children quite closely grouped, they establish a meeting point.
In late August, Parents get a letter informing them of which company will be contracted, and when/where they will pick up on the first day of term. At that point the parent has no idea how many children will be picked up, etc.
You don't get a choice, you don't get to book a 'slot'. You take what you are given.
DD1's school has 110 children; the vast majority have transport and because they all have SN, their first 'lesson' is to go out in the playground - to expect them to sit down after sitting down for up to an hour on a bus would be highly unrealistic.
The logistics of getting 110 children (many of whom use mobility aids such as Kaye-Walkers, wheelchairs, etc.) into one school at the same time is tricky. The transport can't all arrive at the same time. They do their best, and all staff are allocated between collecting children from transport (one escort can't safely manage 6 children with varying levels of complexity and mobility needs, plus their bags, etc.) and supervising the children within the school.
The upshot is, I don't get to choose a time that's convenient for me, and the driver can't change the route to fit DD1 in at a more convenient time.
On the way home, the driver drops DD1 off last, becasue DD2's school finishes at 3.10pm, so I can't be home in time to receive DD1. It means that DD1 has to sit on a bus for 1hr 10 mins though.