You'd have to know all the factors going in to know if something is worth it for you. Since you haven't moved yet you may not know what your budget is to make a decision to get a car, also factoring in cost of living expenses (which you will find are high in Vancouver).
What are your expected expenses vs earnings?
There may also be hoops to jump through and wait times to even get started in regards to licensing, in BC you need a 'class 4 restricted' license, which is seperate from the majority of motorists, and requires it's own theory exam and then a roadtest exam, along with a medical.
I don't know about the rental option, but I think food delivery is more accessible and can pay more during peak hours. Unless you are looking for a 7 seater, I have a sedan you can rent.