Will the Voyager space crafts actually reach another Star System in 63,000 years? If the answer is yes, what will be powering the crafts to keep them going for so long?
Sort of. But not the same system.
Here's a photo of the directions the two Voyager probes (and a couple Pioneers) are traveling:
They're also not traveling in a flat plane, as this page says:
Voyager 1 has crossed into the heliosheath and is leaving the solar system, rising above the ecliptic plane at an angle of about 35 degrees at a rate of about 520 million kilometers (about 320 million miles) a year. (Voyager 1 entered interstellar space on August 25, 2012.) Voyager 2 is also headed out of the solar system, diving below the ecliptic plane at an angle of about 48 degrees and a rate of about 470 million kilometers (about 290 million miles) a year.
I was able to find some good information here. Voyager 1 is headed towards Gliese 445. However, it will be 1.6 light-years away at its closest approach - not exactly close by! It will reach that star, 17.6 light-years away, in 40,000 years.
The probes will have absolutely no power by that time.