Is it possible to take a taxi in advance to a certain place? For example, to get from the airport to the hotel, without waiting for a taxi, and especially not using a taxi, which is usually available near the airport.

Why don't you want to use the taxi that is available at the airport? I don't think there's any difference, but there's less fuss.

Well, as a rule, a taxi that you can take near the airport costs more than a taxi from any specific taxi service. Besides, I don’t see the fuss in taking care of your comfort, safety in advance and using, say, innsbruck airport transfers. It’s always nice to fly somewhere and know that a car and a driver are already waiting for you, who can also tell you more about city, attractions and interesting places.