Recently, I read a thread about the Monte Carlo simulations feature needed.
I believe you can certainly do Monte Carlo on Quantopian. Monte Carlo is just a method with random simulation. If you can do it on Python, so certainly you can do it on Quantopian.
The following is I used truncated Euler method to do CIR model simulation, which is very crude, but enough to show MC you want. (you can ignore the order of AAPL part)