Usually, but there's often no penalty to failure
So, using a wand is casting a spell:
Wands use the spell trigger activation method, so casting a spell from a wand is usually a standard action that doesn't provoke attacks of opportunity
But it is also activating a magic item. The above quote is pretty much the only time activating a wand is called 'casting a spell', and the constancy with which that language is avoided means that some GMs may rule that casting a spell from a wand isn't technically casting a spell. In that case no Concentration check needs to be rolled.
If casting from a wand is handled normally (i.e. it is casting a spell), using a wand is still not, nevertheless, spellcasting in the usual sense (i.e. via the 'spells' feature of a spellcasting class). The impeded magic rules specify you lose the 'prepared spell or spell slot' when you fail the concentration check, but that doesn't matter for a wand; you weren't using either of those resources anyways. This is the same as what would happen if you were using a spell-like ability.
Impeded Magic also doesn't say you lose your action. That's weird and you should probably lose the action if you fail the check, but if not you can just try again without expending any time until you succeed, unless you literally cannot succeed on a 20+spell level CL check (generally this means you can't cast spells with a spell level higher than your level, but actually it doesn't because boosting Caster Level is relatively easy and most every full caster does it at least a little).
However, if we are going with what probably should happen instead of the RAW, the caster level for the wand rather than the user should probably be used, and failure should result in losing a charge-- that most closely follows the parallelism between magic item use and spellcasting-- in which case you have to roll a 19 or a 20 to get the typical 2nd-level spell wand to work, but you can buy higher CL wands for more money and those would work more reliably.
So, to sum up, under a strict reading of the rules the wand's user uses their caster level to make a DC 22 caster level check when using the wand, on which they take 20 without increasing the time taken. Under a slightly more sensible reading of the rules, the user uses their caster level to make a DC 22 caster level check, and loses their standard action on a failure. If the text of the rules is ignored but the general idea followed, the user makes a DC 22 caster level check using the wand's CL, and loses their standard action and a charge of the wand on a failure. If the GM has decided that activating a wand isn't casting a spell, no check at all is needed.
This is a very broad range of possibilities, and the consequences for your wand use range from completely unimpeded to usable outside of combat to practically useless on account of being cost-prohibitive unless the CL is higher than normal. Essentially, you need to talk with your DM about what option they are going with in their game.