I would be up to getting all of the animals onto such a vessel. However, I would use the second set of commanded animals to be brought onto the boat. The one that states 7 of the clean and 2 of the unclean. Which wouldn't be as difficult as clean and unclean animals are listed later on in the Bible, so the number is much more do able.
However, everything else would probably fail. A boat that size and made of the materials specified would never be able to float. Maybe with today's materials, it may be a little more possible, but I would not hold my breath. And surviving for the amount of time necessary, I can not even begin to think of a logical solution. But that's for a good reason, the story is not meant to be taken literal.
I would be able to do it in the way that history dictates that it would happen. That would be no problem. But then again, there is no giant ark, a tiny fraction of the animals, and a relatively short time.