Considering the transitions, most parts are near impossible. Considering it alone, most of the double notes can be played, but as the monarcheon says, you have to calculate the position transitions.
an example that cannot be played at all: you cannot play a3 and e5 at the same time, the violin cannot reached three string at the same time, chords are obtained with a fast resonance.You can add different melodies between chords, but this is very difficult, bach's chaconné is a good example.
The second parts of bach's violin sonatas are fuga, check them out. I also recommend that you study the entire partita and its sonata to understand the polyphony in the violin.
Sorry for my bad english, I hope it helped.