“Then two men will be in the field: one will be taken and the other left. Two women will be grinding at the mill: one will be taken and the other left.”
Matthew 24:40-41 

Will everybody be a part of the rapture? No, not everyone will be “caught up” in the rapture. In the above verse, the Lord is making a distinction between those that will be in the rapture and those that will be left behind.

Those people who are “going about the Father’s business” and living in Christ will be taken up to meet the Lord in the clouds. However, there will be others who are left behind because they are living apart from the Lord and practicing lifestyles of wickedness and compromise. It seems clear that there will be people left behind who say they “believe in Christ” and attend church, but who are living like the devil throughout the week. What about you, are you professing Christianity but not living it?