Yes.  If you see a symbol on a Prima Super Panel screen that looks like the symbol shown below, it means that although the Prima system is connected to a Wi-Fi network (SSID), there is no active connection to the Internet. 

The solution is to simply restart the Wi-Fi network (for example, restart the Wi-Fi router) and verify a valid network connection exists with other devices that normally re-connect automatically to the same Wi-Fi network (and thus to the Internet). 

Another solution:  "Forget" the network and rejoin using the Prima Super Panel screens.

The Prima system cannot receive firmware updates without a valid connection to the Wi-Fi network.  In addition, if the cellular signal is weak, the Prima system may have issues reporting system events.