How far could you travel in space in a lifetime?

could you get out of this solar system or just get to pluto or something, with present technology if you had enough of all supples

Out of the solar system is possible in a lifetime but this depends on. Voyager and Pioneers are already well out there and they were launched in the 70's.

hard to say
would you define time someone was in cryostasis (whenever that is invented) as part of their 'life time'
for the sake of argument we will say no it isn't
that is still hard to say because as you travel closer and closer to the speed of light the time you experience from an outsiders perspective would slow down and you would age more slowly

I am assuming that if we are just sending one human as far into space as we can to see what happens we will do all we can to make sure he/she is going as fast as possible, maybe near 1/2 the speed of light, I think if humanity really really wanted to we could send a spacecraft the size of the shuttle around that fast, and that could hold enough supplies to support one human for a few years if you rationed everything right, maybe have a small greenhouse or something

anyway point is it really depends on how fast you go, the faster you go the farther you can go in a set time and the slower the person on the craft would age, so the longer they could go
Kinda just depends on how determined you were to get him really far from earth

to estimate I would say somewhere from 1 to 5 light years from earth