No, none that I know of.
On the front end, you see what any user would see, which would be only your tickets.
If you are looking in the admin panel at wp-admin > Support Tickets > Support Tickets > you should see tickets from everyone if you’re an Administrator.
So are you saying you cannot see them in the wp-admin Support Tickets admin panel, only your own tickets?
Are you running the latest version of wpsc Support Tickets 4.9.24? Linux based web hosting with PHP 5.3 or above?
What plugins are you running that you cannot disable momentarily? I’ve been developing WordPress plugins and themes for over 7 years and have run into many plugin conflicts. You may be able to locate a plugin conflict by analyzing server logs. You may also find javascript conflicts through Firebug or another web developer console. This can also help if there’s a problem with http headers, response codes, POST/GET data, etc.
Other than that, the easiest way to cross off a plugin incompatibility is to momentarily disable all plugins except for wpsc Support Ticket, then submit a ticket from a regular user account, and check the admin panel to see if it’s there. If it’s not there still, you can bulk reactivate all your plugins because it is not a plugin conflict. If it is there, then one of your plugins is conflicting with wpsc Support Tickets. You then reactivate a plugin, submit a new regular user ticket and check the admin panel to see if it made it through. Continue until activating a plugin causing the regular user’s ticket to not post correctly. That means you’ve found the conflicting plugin.
Let me know if any of that helped resolved your issue. If not, can you post a URL to your site so I can check it out. Thank you!