Absolutely - I have had flocks in areas where winter means feet of snow and sub zero temperatures and have never changed my routine of leaving the pop door open dawn to dusk to allow them to opt in/opt out of enjoying the great outdoors. Generally speaking unless it is actively precipitating or extremely windy they will opt in to going outside, even on the coldest of days. Chickens are very well designed to withstand temperatures humans consider unbearable - this is thanks to their wonderful insulating down and well paced outer feathering (which is why windy days are not a favorite as it disrupts the layering and makes the birds uncomfortable by stirring things up when blowing against the grain of their plumage.
As noted above, some birds are more finicky than others about walking in snow or on ice - if you find your flock is reluctant to step outside on to covered ground, toss out a layer of shavings, hay, straw, etc. My last flock would line up at the pop door, heads poking out looking towards the house, and wait for me to go out and cover any newly fallen snow with a few flakes of straw -- but as soon as the straw was down they were all outside for the day.