Zaid Alsalami, Shaykh Dr Zaid Alsalami is an Iraqi born scholar, raised in Australia. He obtained a BA from Al-Mustafa University, Qom, and an MA from the Islamic College in London. He also obtained a PhD from... Answered 1 month ago

Bismihi ta'ala

Booking driving lesson or anything of this sort is not at all a valid excuse for missing out on your wajib prayers. Your parents should have arranged it in such a way where you can pray, and the duty of parents is to teach their children to always prioritise prayer. 

Yes, if you will be late for prayers, and will still be able to pray within the time frame for prayer, that would be permissible, although its always best to pray on time. So, it would be ok for you to go to the driving class, as long as you have time to pray.

However, if you will not have enough time, then it will be impermissible and haram.

And Allah knows best.