A1566 headphone jack

Yes. The iPad Air2 (A1566) does include a 3.5mm audio jack for connection of wired headphones or earbuds.

Here are the iPad Air2 specifications:

iPad Air 2 - Technical Specification

Be aware that this is very old iPad model. If you are considering purchase, you may wish to reconsider - and favour a much newer and more powerful model. You should note that for iPad models that don’t have a 3.5mm audio jack, you just need an appropriate (inexpensive) adapter to use wired headphones.

You also need to be aware that the iPad Air2 cannot be updated beyond iPadOS 15.7.3 - and sooner or later, you’ll encounter difficulties with App compatibility. Current models are all capable of running the current version of iPadOS - at time of writing, this being iPadOS 16.3.1.

cubsterky Said:

"A1566 headphone jack: Does the A1566 come with a 3.5mm headphone jack?"

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3.5mm Headphone Jack:

Yes. A port is built into it. But.. No. No such adapter is sold with it.