Sure, but it's functionally impossible to make this choice without changing the clocks. Too many events are coordinated - shop opening times have to account for other business start times that have to account for school start times.
Changing the clock is, realistically, the only way to coordinate all the necessary actors.
Otherwise, if schools decided to start at 9AM, they would put a huge burden on parents starting work at 9AM, who no longer have time to drop their kids off and still make it to their workplace.
How is changing the clock the only way to coordinate? Plenty of businesses have different hours at different times of the year. Also other countries do completely fine without DST.
Changing the clock is, realistically, the only way to coordinate all the necessary actors.
Otherwise, if schools decided to start at 9AM, they would put a huge burden on parents starting work at 9AM, who no longer have time to drop their kids off and still make it to their workplace.