I don't know if this is "impossible" due to the different construction of the two instruments, but do you know if the violin can imitate the sound of the Chinese erhu? Here is a YouTube video for reference. I just love the sound of this instrument and was wanting to see if I could add this sound to my technique on the violin.
Yes and no. Yes, you can imitate the erhu style of playing on the violin: lots of glissandi, lots of vibrato on certain notes, very quick appoggiaturas, pentatonic melodies, and so forth. What you can't so easily imitate is the tone color: since the erhu has a snakeskin belly and silk strings (at least traditionally), it sounds different from a violin.
You might get closer with an electric violin, and some sound processing.
With an acoustic violin, the tone depends mainly on the vibration response both of the wooden body of the instrument and the air cavity inside the body, which are both completely different from the erhu.
Filling the violin body with acoustic wadding (used to damp the air resonance in loudspeaker cabinets, etc) might work, but inserting and removing the wadding through the sound holes could be difficult, and taking the violin apart just to try to experiment is a bit drastic, even if you are a luthier and have the capability to do it yourself!