Yes, it is possible to rename the output layers in batches to match the names of input layers. The most efficient method is the inline variable substitution technique through Model Builder by iterating items to apply the input file name as the output feature class name.
For example, the Raster to Polygon tool is capable of converting rasters to polygons in a batch, but is unable to rename the output polygon features in batches as the raster names cannot be recognized. In this case, each output needs to be renamed manually, which can be time consuming when it involves large volumes.
To rename the output feature layers in batches to match the input feature layer names, do the following: