Yes, if you aren't inured to the cold and if your body hasn't learned to naturally heat up.
One problem could be that you would be sniffling and cold the next day, as a lingering effect.
It could last all day and doesn't go away once you get warm again.
The cold affects flow of body fluids and blood and you can feel when you are getting warm again when your ankles start cracking again.
In any case, you should wear layered clothing under a sheet and blanket.
The clothing you wear should keep your core body warm enough to protect it from the cold when you get up to go to the bathroom at night.
An undershirt, pajama, hoodie, hat should do it for the top body.
Wear two pairs of pants (one larger-fitting pair to fit over the other pair).
Wear socks and maybe some thin slippers, which you place a few inches from the Soleus space heater.
Luckily, space heaters are much improved and all you need is an electric outlet to plug them in.
They will make your comfort and safety much easier during the winter.
You need one "blower-type" heater to heat up the air and (at least) one "radiant" heater by your bed to heat up you.
The Soleus radiant heater is the "near your body" heater; it glows.
The Holmes space heater is the "air" heater; it blows.
Put two Soleus Air MS-09 Oscillating Radiant Heaters on chairs next to your bed pointed on your back and feet-side.
Put a Holmes heater on the floor to heat up the air.
Turn all heaters on low.
Try rotating or turn off briefly after eight hours of use.
It's good to buy extra heaters for this purpose.
Soleus Air Radiant Heater.
Use as a spot-heater right next to your body after applying iodine liberally.
Soleus Air MS-09 Oscillating Radiant Heater by Soleus Air
Holmes Heater with 1Touch Control and Bathroom Safe Plug