no. more than likely not.
finding a source of infinite power is far from something we'll ever suspect.
even if we could harness 100% of the suns power, we'd still have an infinite amount more to find.
the faster an object with mass goes, the heavier it gets. this means it needs more energy to push it. when it hits light speed it becomes infinitely heavy (like a black hole) and there isn't enough energy to push that object (or black hole...... think of all the energy you put into moving it, becomes sucked up into the black hole)
it would require and unending amount of energy and that isn't available in our universe.
FASTER than light travel, might still be possible through the study of quantum mechanics, but even though experiments showed it might be possible, none have been proven yet.
how would it effect us? @ light speed?
it would help us jump around our galaxy a "bit" more. it would give us a reach of about an extra 33 stars within 12 years. but there are billions more
how would it effect us? @ FASTER than light speed?
I'd bet you'd have to "throw" gateways ahead of you so, within about 250 years you could access 260 000 stars.
it would only grow from there.