Hi Eve, I don't see why not unless your soil gets waterlogged as rosemary won't like that at all. Take cuttings in summer when your father's bush is growing lots of new healthy shoots. Here's how to root them:
What a fragrant idea
Artemisia only grows max, 3' and is poisonous, though very fragrant and pretty. Also it is recommended that it is cut back hard once a year, which would make your hedge very small.
Eve- in another month or two the GCs ,nurseries and DIY stores will be full of 3" pots of rosemary for very little money. They grow on quite quickly if you get them into a properly prepared area. Bob's right about the good drainage so as long as you can give them a sunny site with plenty of that they'll do well. I also got some 6" pots last year in a B&M store - 3 for a fiver- so if you have one of them nearby it's worth a look.
I have one and it is great as only comment I would make it to watch out because they can become leggy if you don't keep them prunned