Tech-free vacation - is it really impractical?
The real question here is "how much do you want to be without them", not "can you be without them".
The vast majority of IT workers aren't employed in positions where their availability may be crucial for the well-being of others (as with CIOs of hospitals or other health-care organisations). (That said, how indispensible are you really - what would happen if you had a heart-attack?) Most of us could very easily afford to simply switch off our plethora of gadgets, cut the umbilical cord, throw them in our desk drawer and walk off into the bosom of our families for the festive period.
If you want to speak to far-off family or friends, ring them (whatever happened to the land-line phone anyway?). If they're not so far flung, go and visit them. Have first-hand relationships with those that matter in your life, not relationships-by-wire, while you're unsuccessfully multi-tasking by simultaneously watching YouTube.
When it's my turn to be President of the world I'm going to ban all electronic communication devices for 50 days per year (as a starter) and make people actually talk to each other. It'll catch on - you'll love it - just give it a go.