Can second hand smoke cause a cough/make a cold worse?

Okay well, I was just getting over a cold when I went to my dads house for part of Christmas break 2 weeks ago. My dad AND my stepmom both are pretty heavy smokers...I think...at least a pack a day for both of them. When I woke up on the 2nd day being at my dads, my throat was really sore...so we went and bought cough drops. Whenever my stepmom or dad would smoke, it would get hard for me to breathe and I would start coughing. I would have to go out side or in another room with the door shut and open window. I had the sore throat from December 20-26ish, then it turned into a nasty cough. I got to my dads house on the 19th, developed the sore throat on the 20th, and went back to my moms house(who doesnt smoke) on the 24th. I still have the cough today, and occasionally it will be a sore throat also. Could the smoke have caused this? Cause I was feeling fine before I got to my dads house, sure I was getting over a cold, but the last day I ever blew my nose was like 2 days before I went to my dads, and I had no signs of a cold when I arrived at my dads.