Cold makes you get a cold.

There are some studies that claim a link between cold weather and sickness, though it does not directly cause a cold,,that is either by virus or bacteria. The suggested mechanism is that cold dry air causes construction in the blood vessels of mucus membranes in the nose and throat, which means that white blood cells do not travel,as easily to sights of infection which means that they have an increased chance of getting a foothold and Increasing.

Wikipedia has this to say on the subject:

"The traditional folk theory is that a cold can be "caught" by prolonged exposure to cold weather such as rain or winter conditions, which is how the disease got its name. Some of the viruses that cause the common colds are seasonal, occurring more frequently during cold or wet weather. The reason for the seasonality has not been conclusively determined. This may occur due to cold induced changes in the respiratory system, decreased immune response, and low humidity increasing viral transmission rates, perhaps due to dry air allowing small viral droplets to disperse farther and stay in the air longer. It may be due to social factors, such as people spending more time indoors, near an infected person, and specifically children at school. There is some controversy over the role of low body temperature as a risk factor for the common cold; the majority of the evidence suggests that it may result in greater susceptibility to infection."

Notice that while "there's controversy over the role of low body temperature as a risk factor", that still doesn't change the fact that the cold is induced by a bacterial or viral infection, so the answer is still no. Cold weather alone won't make you sick. It might put you at increased risk of catching a cold, but it won't cause one in and of itself.

A friends Daughter has just gone off to University, with a few days everyone in her halls has got various bugs, she is last I heard in bed and homesick, that could be an example of lots of young people mixing together for the first time from all over the country spreading new germs to each other.
Also thinking back to my holiday this year, when we got back off the Cruise ship we all came down with coughs and chest infections, lots of mixIng with different people, in a confined space.