Although printers have an ideal operating range, the printer itself should be fine in very cold weather.
The real concern would be the ink and media. The most important part of any printing is
consistency. If you're down to the 40's or 50's at night and expect to print the next morning at 70º, there's a chance you may have issues.
Media can expand and contract with significant temperature changes. While the built-in heaters should minimize this, there also may be concern that the ink may flow differently at different temperatures. So, the print that comes off the printer when you first get in may look a lot different than the same print at the end of the day.
Although the ink, media and printers are significantly different, this was a real issue when I was printing with aqueous inks. Heck, if it started raining during a shift, there would be significant color shifts between the start and end of the finished product.
Checkers