No one else can see your account or your tax return. If you prepared a state return that shows a refund and filed it by mail, you can track the state refund on the state refund site. If you (even accidentally) clicked on "amend" later on, it reset the amount back to zero in the account.
To track your state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
https://ttlc.intuit.com/community/state-taxes/help/how-do-i-contact-my-state-department-of-revenue/0...
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**