Yes. The LTS (the wiki page you point to) is the regression equivalent of the trimmed mean: in LTS, one minimizes the sum of the smallest $h$ residuals to $\pmb x'\pmb\beta$, the regression hyper-plane, instead of the sum of the $h$ smallest residual to a fixed number $\mu$.
However, as pointed out at the end of the wiki article, exact computation of the LTS is impossible except for small data sets. This is why  introduced FastLTS, a fast algorithm to compute a consistent estimator of the exact LTS for moderately sized data set. You can find good implementations of FastLTS is many software packages. R has one (function robustbase::ltsReg).
-  Rousseeuw, P. Van Driessen, K. (2006). Computing LTS Regression for Large Data Sets. Data Mining and Knowledge Discovery. vol:12 issue:1 pages:29-45.