>>Scientifically? No. Especially if it's a considerable distance.
Your science is not scientifically sound.
I am 5'6" and around 160lbs, and an elderly, senior citizen, so I'm the weak old granny, not the same body type or age as your character; however, a few years ago, when we were doing a major landscaping of the yard, I needed to move three 500lb boulders, from one point, to another point an acre away, including crossing an 8 foot wide brook, and climbing up a steep hill. (In the summer, no snow.)
I was able to move them, via using a board and smaller rocks as a level, to roll the 500lb boulder into a children's snow sled (plastic toboggan) and then drag that.
It took me about 3 hours to move each boulder, as they were so heavy, they even pulling them with the sled, I could only move it 3 or 4 feet before having to stop and rest and catch my breath. It was very difficult, but in the end, I was able to move all 3 of the boulders across the yard using this method.
As for the snow... type of snow makes a difference.
If it's ice, a 5 year old could pull a sled carrying 2 adults no problem at all. (I used to do this, that's how I know.) However, the sled will move faster then the puller, and will clip the backs of their ankles, causing serious cut wounds and a lot of bleeding.
If it's light fluffy, deep snow, the sled will sink, so will the girl. She may be waist deep in seconds.
If it's hard packed blizzard snow, in addition to being 10 to 20 feet deep, it's also be blistering sharp... if she falls on her hands and knees while pulling a lot of weight, it'll have the same effect as falling through a plate glass window and her whole body will be covered with very deep (and possibly life threatening) cuts.
If it's spring thaw snow, she'll be need deep in mud, and the back suction of the mud, will act like quick sand and pull the sled deeper into the mud. She'll soon find her feet stuck, and be barefoot after the mud swallows her boots and her feet pull out of them.
Pulling someone over snow is NOT easy. It's why I waited till summer drought, when the ground was hard sandy dirt, before moving those rocks I mentioned above. I would not have been able to move them trough snow or mud.
You are also dealing with bitter cold. Snow melts at any temp above 40F, usually it's around 30F (-1C) if it is snowing, but to ensure the snow stays on the ground instead of melting, the temp has to drop to 20F or less. Around here, we average -20F to -40F (-28C to -40F) for about 4 to 5 months of the year... BEFORE wind chill factor. The record for wind chill here is -161F (-107C); you freeze to death at around -30F (-34C)
I grew up in snow. Around here It starts snowing in October, spring thaw doesn't happen till May. February is blizzard season. We get snow about 3 times a week, usually 14 inches minimum per storm.
Also, consider that if she's far enough north to get a lot of snow, she's also far enough north to have long nights. Most of the year here, sun rises around 8AM and sets around 5PM, but our shortest days have only 3 hours of sunlight. This effects the temps and the snow. During the sunlight, the temps can rise to 60F (15C) meaning the snow becomes wet, slushy, the consistency of a Slush Puppy drink, and nearly impossible to walk in. As soon as the sun sets however, temps drop FAST, almost instantly, and it'll quickly plunge to -20F (-28C) or more instantly freezing the snow into massive chunks of ice.... she'll be able to easily pull the sled then, but she won't have any footing and if she falls and hits her head on the ice, it'll be the equivalent of a cannon ball to the head - it'll shatter her skull and she'll die instantly. The only way she'll have footing to stand is if she's wearing cleats (not sports cleats - but actual metal spikes on the bottoms of her boots)