My answer to another question: "[As we increase the size and mass of a world, at what point does it become impossible for a rocket to achieve an orbit or escape velocity?][1]", answers this one quite well.

Depending upon what you're willing to pay for, it is well within the our technical capabilities to build a rocket that would accomplish this mission.

 - The Earth's mass is the limit for a single stage chemical rocket to achieve orbit.
 - A 3 stage chemical rocket, with performance similar to those we
   already have, could achieve orbit around a planet with Saturn's mass.
 - A single stage nuclear pulse rocket could achieve orbit from a planet with mass around 6 times that of Jupiter.
 - A 3 stage nuclear pulse rocket could achieve orbit from any planet and even low mass stars.

As others have pointed out, some of these solutions would be very costly indeed.


  [1]: https://worldbuilding.stackexchange.com/questions/40161/as-we-increase-the-size-and-mass-of-a-world-at-what-point-does-it-become-imposi