Sure, why not. You do have to be patient to get these results.
The flower is reminiscent of Queen Anne's Lace which I have always admired. Now you can have these pretty white flowers in your border with very little work.
I planted a bunch of carrots along the veggie garden side of the flower beds last year and left a few during harvest time. They won't flower the first year but carrot foliage is pretty and will add a nice backdrop for other flowers.
The roots will overwinter without any fussing on your part and they will be one of the first plants to make an appearance in the spring, then during summer they will produce the pretty white flowers. I'm going to deadhead the browned blossoms to see how many flowers I can get out of one plant. Then I will let it go to seed.
So go out and buy a packet of carrots to plant in the next month or two and then sit back and wait for your pretty flowers to show up. I'm going to add many more to my flower beds this summer.