as long as your grains arn't cracked, you can store them. Although you said its with a kit so chances are, they are cracked. You dont want to store them for too too long. i dont know, what kind of shelf life do cracked grains have guys?
I don't know shelf-life of cracked grains specifically, but I buy about 3-4 recipes worth of grains at a time from AHS. When I get them I have them pre-packed per recipe and cracked since I don't have a mill. The last recipe doesn't get brewed for about a month and I have not had any problems.
The key is to not have any moisture or excess air in the grains. If you reduce these then you should be able to store grains for a decent amount of time.