Is there GUI to flash a sketch with new variables?
The common way to do this is to build the configuration UI into your program. Then the user has no need to be messing with the firmware.

Since your device has WiFi this can easily be done by serving a configuration web page that is loaded in the browser. But how can you make a connection before the credentials for the WiFi router have been configured? The answer is for the device to serve as an access point (AP). So you connect a computer with WiFi to the device's AP, open the configuration page in the browser on that computer, and then configure the credentials as well as any other configurations you might like.

The configuration parameters are written to EEPROM so that they will be preserved.

In its most simple form there would be a specific IP address that must be opened in the browser but more user friendly is to create a captive portal so that after connecting to the AP any URL opened in the browser will load the configuration page.

Of course all this will increase the memory usage of your program and apparently you are using the Arduino Uno so this is fairly scarce to begin with. You'll need to determine whether there is enough extra memory for it.