Are Work-Specific Colds Possible?

I work in a fairly busy car dealership. I'm usually working in two offices, and I'm currently being trained for another department, so I'm a little stressed at times. In the past month, four of our co-workers have had a cold or at least the symptoms, and I'm in direct contact with at least 2 of them. When I leave work at night, I feel kind of off (headaches, lethargic, throat/ears not 100%), but once I get home and actually rest, I'm fine for work the next day. I admittedly have not been taking proper care of myself, but I'm working on that. Is it possible to feel sick in certain places simply because there are so many viruses?