Yes, there is that line, but the author of this conspiracy (Harold Camping) suggests that it only applies to the church age or pre-tribulation era and quotes 1 Thessalonians 5 as a counter argument.
The Day of the Lord
1 Now, brothers and sisters, about times and dates we do not need to write to you, 2 for you know very well that the day of the Lord will come like a thief in the night. 3 While people are saying, “Peace and safety,†destruction will come on them suddenly, as labor pains on a pregnant woman, and they will not escape.
4 But you, brothers and sisters, are not in darkness so that this day should surprise you like a thief. 5 You are all children of the light and children of the day. We do not belong to the night or to the darkness.
But of course that should probably only be considered if you do hold any religious beliefs, otherwise ignore what he says, because he also states
"I know it's absolutely true, because the Bible is always absolutely true."
which makes him a bit of a fucktard.