Planting next to driveway

Don't see why not; the only thing I'd consider is that at the height of the season, you may have a few 'visitors' who may be tempted to hoik out a couple of onions now and then...

And in winter, it doesn't look to bright, with old cabbage stalks etc, but hey, just do it - it's a place to grow what you want!

There are several front gardens close to where I live with veg growing.  One looks almost like a mini allotment with a couple of fruit trees.  Its lovely

lead additives for fuel restricted long time ago, so if you worries about "visitors", put fake surviallance camera and sign 

Diesel doesn't smell so good, I wouldn't want to eat it. 

always forgetting, that diesel common somewhere else  but some truck companies here using biodiesel made of recycled oil, so their exaust smells like tempura stand 

A mini allotment sounds appealing but could get a bit tatty.

A potager garden is often used in front gardens mixing veg and flowers and salad crops.  

I don't think your own driveway is the problem unless your front garden is very close to a busy road and even then root crops should be fine.

In this day and age with the shortage of allotments and increase in the populatity (and necessity) of growing our own veg it would be silly not to be as resourseful as we can be. I used to love the Geoff Hamilton series where he combined his wonderful veg in amongst his borders. Very productive and you don't have to keep it to the back garden.

 I'm planning on growing my pumpkins in the front next year as they take up so much space on the plot and I'm hoping to be able to merge them between the shrubs etc. (and they will hide the weeds therein)