My iud fell out on December 13 2013 I had some bleeding on December 15 2013 just for the day and then again on January 9 2014 just for the day. Could I be pregnant?

Yes, you could be pregnant, always a possibility with or without birth control, but it could be from being off the IUD. Was it hormonal or copper? Did you have it replaced or were you using another form of birth control? Have you tried a pregnancy test?