No, it's just a colloquial Japanese expression that means roughly the same as "Happy New Year".
Pic's not supposed to be funny or witty, at least not in a wordplay sense. You could say it's got some black humor, e.g. "Happy New Year from the zombies! We look forward to eating your brains while sitting under the kotatsu!" or something to that effect, but it's probably unintentional.
The effect here is that the drawing and lines suggest a cute image, and the akeome reinforces this, but the dark color and use of shadow and tones (as well as the red-eye) subvert it for an aesthetically-pleasing, yet disturbing image.
...Wow, those art appreciation courses in college paid off after all.
This is scary Its like... What if it was new year and you were just getting back to your place from a party, you the only one walking the streets You hear a noise from a distance, a bit scared you look around, thinking its just a cat You walk more but then you hear a childs voice saying,"Happy New year." You look to the side and you see here... That would be awsome xDD