Stupid idea.

Liability, time, insurance, practicalities.

You work home but if you do this, you must always have good operational car.
Big insurance to transport client like taxi service. Not same as using own car to drive to own office job and back. Transport to/from work very different than business use of vehicle.
So this client is 15 mins away and if you agree to pick up, then what if they move 30 mins away? Still do it?
What if two client need pick up service? They live in apartments. In Winter get first client, no problem. Get second client home, get all kid out of car, go to apartment, get second lot kids. Walk back to car with group kids in snow?
What if you have puncture/get held up? You then late for regular client and get unreliable name?
Will one or two client wanting pick up be enough to cover your cost of bigger insurance? Unlikely - but if you do for all, then you need bigger vehicle which is bigger cost which mean bigger fee. Not cost effective at all.
What if you get there for pick up and they all over sleep? You wait? Be late back? Or you text/call before leaving? So now you give wake up service and pick up service too?

This foolish idea. Parent being lazy. Don't enable