No. All text messages sent from application (A2P) must use Public or Private SenderID.
Your mobile number is private and only used to login and manage your kwtSMS account or to recover you password.
Mobile or landline numbers are not allowed to be registered as Sender IDs in Kuwait. Numeric SenderID not allowed when A2P.
In other words, this is also called Anonymous SMS to some extent.
+ Can I Send Link (or URL) in SMS messages?
+ Can I transfer my Sender ID from old SMS Provider?
+ Why should you register Private SenderID for OTP?