It's possible, in theory. Start the cuttings off as soon as possible, though, for best results.

hi,
i have tried with rosemary and it works well. my tarragon died though.

You need a good sized cutting for tarragon. When purchasing a package get the largest sized cutting you can find  the small ones will not take.

Rosemary should be OK but the tarragon is probably too soft to root. What does really well is watercress. Try it - it gets off to a rolling start and you'll be harvesting new shoots in a very short time.

Hi all,
I have rooted grocery store cuttings for years, with good success.

I pinch off the soft topmost part, pull almost all leaves off stems that seem strong and healthy, leaving only about 2 or 3 at the top.

Then I root them in pure sand in large pots outside. If the weather is threatening I cover them with 2 liter plastic coke bottles that I cut the bottom off of (no cap). I do this whenever I buy a package of herbs. I cook with the leaves and plant the rest. I have done this with mint, rosemary, basil, oregano, sage and bay. I have never gotten a bay to root, but still trying.

I've rooted thyme that came as a garnish on a caterer's platter . . .

Wow, you guys are sooo smart! I have a farmers market near me where they sell huge bunches of herbs for around $1-2 and I thought that was good. But even better would be rooting some and growing my own! Thanks for the great idea!