Actually there is, three months from the date of purchase. Apple "report a problem website" states it at login : "To report a problem with iTunes, iBooks Store

Actually there is, three months from the date of purchase. Apple "report a problem website" states it at login : "To report a problem with iTunes, iBooks Store, iOS, or Mac App Store purchases made in the last 90 days, sign in with your Apple ID. For help with older purchases, contact iTunes Store Support." So I guess there's no limit with contacting support option as you said.