No. This would give you better acceleration, but handling, cornering & braking would be compromised, which are what keeps you out of the ditch, or worse!
Note the snow tire safety information below, taken from RMA's TIRE INFORMATION SERVICE BULLETIN.
The beginning movement and acceleration of any vehicle in snow, ice, slush and similar cold weather conditions are highly dependent on the traction from the tires on the driving axle. The handling, cornering, and braking of a vehicle after is is in motion, especially in adverse weather conditions, are dependent on the traction from both the front and rear tires. The rear tires of any vehicle must have comparable or higher traction capabilities than the front tires to maintain vehicle mobility and control. Winter driving is also dependent upon proper driving techniques. It is important to drive with care, not only on snow and ice, but also on dry and wet roads.
Please note that while this bulletin is intended to outline general guidelines and considerations for winter/snow tire replacement, it is not all-inclusive.
IMPORTANT: Before replacing tires, ALWAYS refer to and follow the vehicle manufacturer's replacement tire restrictions and recommendations.
WARNING: Without Winter/Snow Tires on the rear axle, which have comparable traction qualities to the tires on the front axle, the vehicle may experience adverse handling characteristics. This may result in loss of vehicle control, which could cause serious injury or death.
To learn more about snow tires & winter driving tips, click anywhere on this red text to read a seperate article.