With the well-intentioned, patriotic, sincere and inspiring Latas, yes 5 years is enough to build a 2014 team.
In terms of the nucleus, one could imagine several names, not to omit a few that come to mind like:
Retiring by then (2014): Stern John, Lawrence, Andrews, Avery, Cyd,
Probably retiring by then: Ince, Cornell Glen as his weapon of speed might be reduced a notch by then.
Possibly one more world cup in him: Scotland, Carlos Edwards, Aurtis Whitley, Colin Samuel
Established: Kenwyne, Jan Michael, Theobald, Spann, Birchall, Toussaint
About to take off: Daryl Roberts, Baptiste, Tinto, Hyland, Clyde Leon, Marvin Phillips, Julius James
Younger with big potential: Jamal Gay, Guerra, Knox, Goalkeeper Glenroy Samuel, Paul, Peltier, Bartholomew, Randi Patterson, Pacheco, Wolfe, Kendall Jagdeosingh, Osei Telesford, Keon Daniel, Kevon Carter
Youngsters for grooming: Makan Hislop, Radanfah, Nicholson Thomas, Seon Powers, Akeem Adams and several members of the under 20 team gaining experience in the Egypt World Cup and some prodigies of the under 17 like Britto.
Apologies for any talented player overlooked.