If you do not have access to the code and if this is not part of the requirement / design specification for the application you are using (ie: what you asked the developer to do), then the answer is No.
The control does not have "native" support for URL tab selection. There needs to be specific code in the application in order to handle this.
It is however very easy to implement, if you absolutely need it, it shouldn't take much time (about 15-30 lines of code, depending on how many tabs/urls combination you need).
You can find a running sample of the AjaxControlToolkit Tabs control at the following link (the available functionnalities are described in there):
http://www.asp.net/ajaxLibrary/AjaxControlToolkitSampleSite/Tabs/Tabs.aspx