I had my swine flu jab and a pneumonia jab this week on the same day and did not notice any change in temperature...but then again I didn't check it with a thermometer...
I did feel a bit off for 2 days though and felt that I my temp was up...also had a pain under my armpit (the one where the pneumonia one was injected)...
If you are getting cold a lot I'd mention to your specialist and see if it is linked to your sugar control. I know your feet can get cold if your arteries or veins in your legs thin due to poor control, maybe worth checking yourself out...I reckon 'normal' people go up and down throughout the day though (especially in Wales where I live as it's f-ing freezing)