Physics of Star Trek is good but way out of date!
The answer is yes, virtually everything on Star Trek has been contemplated as real technology.
There are several theoretical models for warp drives. Many unresolved theoretical problems remain (the problem is not simply engineering or scale) so this will likely require a rather fundamental leap in known theory.
Experiments in quantum teleportation are ongoing. A transporter may well be possible for inanimate matter. Transporting humans is extremely problematic and may well forever be deemed unethical due to the fact that the original is destroyed.
Directed energy weapons, my understanding, have been in development for some time and almost certainly will be deployed within most peoples' lifetimes. Reagan's Star Wars program supposedly was going to use lasers to knock out nuclear warheads.
I am not aware of anything specifically relating to force fields.
Photon Torpedos are not going to be happening anytime soon due to the enormous cost of making antimatter. But, if a cheap supply of antimatter is devised or discovered, you can bet that antimatter will be incorporated into weaponry. This is one of the most terrifying prospects of modern physics; antimatter weapons would leave no fallout, and therefore a frightened power may be more inclined to use them in a first strike than with nuclear weapons. If all nuclear fuel were replaced gram for gram with antimatter, there'd probably be enough energy to turn the Earth into an asteroid belt!
Oh let's see, what else. Holodecks are definitely going to be a reality this century, as will cloaking devices (very similar idea). We probably would not be able to touch a hologram anytime soon, but the visual aspects of the holodeck are not that far from reality. As for a cloaking device, this too will probably happen pretty soon. Microscopic projection devices like DLP chips, if they could be miniaturized even further, would be ideal candidates for such a device. A subject could be shrouded in a fabric of interwoven projectors and cameras which would retransmit incoming light in a straight line in the opposite direction.
100 years from now, I boldly predict that we won't be talking about whether the technology on Star Trek can be replicated, but whether humans can become omnipotent like Q. :)