No, they are two different BS end-of-the-world prophesies
One is for people who take ancient literature too seriously, and the other is for people who take ancient calendars too seriously.
This one isn't a Catholic prophesy, I'm afraid, it's the invention of a character named Harold Camping, who is some flavour of American protestant.
Heh heh... Wellll
Jesus died and rose again, then ascended into Heaven... promising to return before that generation had passed (which has been reinterpreted over and over to fit into the idea a generation has not actually passed since then)... this is what Christians refer to as the "Second Coming". But a bunch of prophesies have to be fulfilled before Jesus can return. There is supposed to be a seven-year Tribulation before Jesus' 1,000 yr reign here on earth, and some Christians believe they will be "raptured" before the Tribulation and spared the torment and misery that is supposed to ensue. Some believe they will be "raptured" during the Tribulation, and some believe it will happen after.
Most Christians believe that to be "raptured", God's people will literally disappear from the plant (leaving behind their clothes/fillings/implants/shoes) and reappear in Heaven in their spiritual form. They theorize (can I use the word "theorize" in the context of complete BS??) this event will kick-off the seven-year Tribulation because of the destruction that will ensue as a result of people simply disappearing suddenly. For instance, an airline pilot may disappear and his plane would crash, and any scenario you can think of where a person disappearing could be a huge problem for those in the vicinity.
After the 1,000 year reign, somehow all God's people will end up on the "New Earth"... Satan will be cast into eternal damnation (separate from nonbelievers?)... God and Jesus will reign supreme for all eternity while the "chosen" will sing his praises forever more (my thought is... isn't that a sort of Hell?)