Yes. Only, companies are allowed to register a SenderID. A commercial license is required. The SenderID name can be your business, service, product, or app name.
First signup if you have not already, then login to your account and choose "Buy/Order SenderID" from the menu. Order and pay online using KNET.
SenderID costs 10 or 15 KD depending on the type. This is one time setup fee, and use it forever for Kuwait networks. No recuring charges.
(Personal/Individual SenderID names only allowed during elections)
Read more if you need to register your SenderID in other countries.
SenderID activation is not guaranteed and subject to telecom rules.
+ Do you have contracts/monthly sending limits?
+ How to manage Zain Kuwait mobile number in Blacklist/DND?
+ Can I transfer my SenderID from old SMS Provider?