you can do many things but better keep them in mind for worse case scenario. the simplest way is to right click on your address from your address tab (you may need to enable this tab from View in the menu) and selecting private key option. then import that in any other wallet that allows you to import private keys and have access to your funds.

another, a little more complicated, way is to build an unsigned transaction yourself (like using another tool by only giving the tool your address and nothing more) and then give it to your wallet and force it to sign and then broadcast it using a block explorer's push_tx option.

this means you are over the initial sync barrier!
you should now see the transaction history in your history tab too if you succeed in communicating with a server.