This is not a ridiculous question and does not deserve a mean answer.
Voyager 1 has been flying for over 43 years [0]. In that time it went over 150 AU. This averages about 3.5 AU/year. It took, from start of project to launch, about 5 years (1972 - 1977 [1]).
If this body is going to be 11 AU away in 10 years away we'd need to move at an average 2.2 AU/year and hit the right launch windows.
I think that it falls into the "yes, it's possible" but not into the "of course it's possible, how could you even ask" category.
Voyager 1 has been flying for over 43 years [0]. In that time it went over 150 AU. This averages about 3.5 AU/year. It took, from start of project to launch, about 5 years (1972 - 1977 [1]).
If this body is going to be 11 AU away in 10 years away we'd need to move at an average 2.2 AU/year and hit the right launch windows.
I think that it falls into the "yes, it's possible" but not into the "of course it's possible, how could you even ask" category.
[0] - https://en.wikipedia.org/wiki/Voyager_1
[1] - https://voyager.jpl.nasa.gov/mission/timeline/#event-voyager...