If you have no idea what I am talking about, check out this link, which will explain the latest twist on this not uncommon religious prediction.
The answer to the question in the title, at least from my point of view, is a resounding NO. For these three reasons:
#1--I have been around long enough to have heard that "the world is ending on ___ date" numerous times. The fact that I am still here typing away on this blog proves that they were ALL wrong.
#2--If the prediction is correct, it doesn't sound like there is a lot to prepare for. You will either be "saved" and sent to heaven or sent to Hell. Doesn't sound like a lot of options there.
#3--Most importantly, especially if you have been reading this blog for a while, there should be no point in running around like a crazy person trying to prepare for the end of the world which will take place on a certain date. You should already be prepared! Emergency fund? Check. Year's worth of food stored? Check. Multiple sources of water/heat/shelter/sanitation/etc already prepared? Double check. Evacuation plan, personal protection plan, plenty of barterable goods? Yep, those too.
The bottom line is that you should ALWAYS be prepared. Of course you want to keep abreast of what is going on in the world but you have to use your logic and common sense to sift through news of things that could impact you and news being spread for propaganda/attention/"I'm a crazy religious zealot" purposes. As far as the world ending in a couple of days, I would lay odds that it won't happen. As far as being prepared for any sort of disaster that could happen today, tomorrow, the next day, or next year, of course you should be prepared--that's just our way of life!