2.2K ohm resistor in series with 1A power linear supply circuit, is that right?

I don't think that can possibly be correct. Maybe a typo for 2.2 ohms, which would be a plausible inrush current limiting resistor (but 1W rating wouldn't be enough). I would treat the entire design with great suspicion.

The breadboard picture used at the site responsible for this schematic seems to suggest that they really did use a 2.2kΩ resistor. I've circled it in red -- it has clearly visible red-red-red color bands.

Having this resistor in the location shown in the schematic might make the circuit appear to work with no load connected (e.g, just a multimeter, as seen in their demo video), but would make it collapse under any real load. You'd probably have trouble getting it to even light an LED.

What's not quite clear, though, is whether they actually connected the resistor in the way shown in the schematic. It's hard to tell exactly what's going on in the photo, but it almost looks as though the resistor might be connected between the power and ground rails of the breadboard, or possibly even between the power rail and itself (!).

Either way -- don't use this design. It's a poorly conceived and dangerous substitute for a bench power supply.