Yes, but he needs to be fairly healthy...you need to feedonce a day as much food as it can eat. Soak the food in selcon and garlic. These help the taste and have high useable fatty acids and proteins necessary for the regaining health anemones. Mysis are a great choice and usually fairly easy for an anem(especially one that needs to regain health) to eat. Keep feeding him well and you will see that stalk turn a pink, then into a dull-brown color when it has fully bounced back.
By the way, I've been trying to get a picture of my anems stem, but haven't been able to. the stalk is about the same as the anems width from tip to tip. The stalk has to be 2" in diameter and a good 7" long(the whole stalk is under a rock and only peeks the top out)...with good care, yours could be too. I would recommend more lighting for you tank, or at least a better position for the anem...with that lighting I would put him in the top 1/3 of the water and if he wants he can move himself down.