Is it feasible for a manned space shuttle to travel further than the distance of mars?

No, a shuttle is far too small for any extended trip like that.

Not at this time. Even Mars is way too far. We're lucky to have made it to the moon.

Sending space probes long distances is no problem.Like voyager 1 which is well past Pluto.But at the speeds at which we send manned space ships is too slow.Just reaching mars is a challenge.The trip is expected to take 6-9 months.But we could probably do it if the governments worked together and set a goal to send a man to mars by the end of the decade.

as of now, i do not think they could get much farther than mars.

No, the space shuttle is designed for low Earth orbit. It cannot even hold enough fuel to reach escape velocity, much less around trip to Mars. It is the same with the Russian Soyuz.

We have gotten to the moon before, but right now that is not even feasible. Technology for a manned mission that far into space still needs to be developed. The goal for NASA is to get a man on Mars by the 2030s. Even that seems like wishful thinking, and that's to say nothing of beyond Mars. The main barrier in space travel is money and political will, and there is too little of both. With enough money and time, the technology can be developed.