Concerning the possibility of making a "passable rendition" using virtual instruments, it's certainly possible, and it's generally called an orchestral mockup. Having done a lot of those, I can tell you this particular one would require a massive amount of work, most of which will be spent tweaking the dynamics for each note of each instrument or section; testing and selecting the most appropriate instruments from your (hopefully large and expensive) library; perhaps inputting rubato or tweaking the timing of notes; and massaging plugins from several different vendors into a cohesive whole.

Having done this, you could get a result that the vast majority of people would be unable to identify as synthesized.

In some places it will be necessary to do a bit of creative interpretation in order to accommodate for the limitations of your tools, for example, the clarinet trills at the beginning might need to be slowed down a bit. Nonetheless, a virtual instrument like SWAM Clarinets will get you there. These days, they're quite realistic: https://www.youtube.com/watch?v=Mmsehqcjc9g