If my internet goes down in the office, can I still get to my bookings in the travel agency software?

No, not while the connection is down, because the software runs online and your browser needs to reach it. The good news is that nothing is lost. Your bookings, customer records and documents sit on the hosted platform rather than on your office computer, so when the connection comes back everything is exactly where you left it, including any booking you were part way through saving.

The practical workaround is that the software is not tied to one machine or one network. If your office line fails, you can sign in from a phone or tablet on mobile data, or from a laptop at home, and carry on with the same login. Many agents keep this as their fallback rather than relying on anything stored locally. It also means an outage at your end does not stop your white label portal, so customers can keep searching and booking while you are offline, and those bookings will be waiting for you.

What an outage can affect is anything that was mid flight at the moment the connection dropped. If you had clicked to confirm a booking and the screen never came back, treat that booking as uncertain rather than failed. Once you are back online, check the booking list before trying again, so you do not create a duplicate. Whether the supplier completed it depends on how far the request got, so the record in the software is the thing to trust.

It is worth agreeing with your team now which device and connection you will all switch to if the office line goes down, and making sure everyone knows to check existing bookings before rebooking anything.