We've done it before. As far as I can see, it depends more on the combination of snow and severe wind, with the possibility of downing the catenary. Last week service was suspended out of Boston after the 5:35pm departure from South Station on Monday evening, and did not resume until the 7:05am Acela departure/9:30am departure Wednesday morning, but that storm certainly appears to be worse than what the incoming one will be.
I can't really find a concrete forecast, local Boston stations say 6-12+, Weather Channel says 12-16. But what I would keep a close eye on would be the wind. I see that out in Chicago they're predicting it will be rather windy, so it is certainly a possibility that there may be cancellations, or service disruptions. Keep an eye out on Amtrak's front page and look for a Northeast Weather advisory starting Sunday night and through Monday, to see if there's an possible impact to your travel.
What train are you suppose to be traveling on?