i would like to know if it is possible to purchase the Swiss travel pass and also ask for a family pass directly at the Zurich airport on arrival.
Yes, you can buy them at Zurich airport when you arrive. It is often a lot easier and simpler to buy them online and have them emailed to you, so you can print them at home (and skip waiting at the office and hop on your train right away). Another advantage is you have an electronic back-up in case you lose it.
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