Will today's younger generation start to grow there own

We have bags for garden waste and some grow potatoes in them as they are quite deep.

I think many young people have done this, if they don't have the space then some have allotments.
DS made raised beds, one DD grows things in tubs as she has limited space.
The others have a large veg plot and provide food for the nation.

Balconies come at a HUGE premium around here

You have to be pretty well off anyway to have a balcony

And even if you do not all are suitable for growing on. Some are in wind funnels where its dangerous to have pots on them etc

Notanan it is amazing what you can grow in pots etc on a balcony but of course it helps if it is facing the right way.
Strawberries, chillis, tomatoes, even potatoes I believe!

I think many do, Mick my DD and SIL in London with a pocket handkerchief garden have an allotment (but of course cannot go and tend it because it would mean driving there and that is not a permitted journey) and another DD and SIL were out planting veggies with DGS earlier this week.
Allotments are very popular (not to say trendy) among the 30-40 somethings especially those in flats or with tiny gardens!
I might have a go at some tomatoes in a gro-bag or “cut and come again” salad leaves myself.

Balcony

Where? A garden or even a balcontis a massive luxury/privilidge these days