No. If you read the website carefully, you'll see they have two options. With Option 1 (my identification) , you fly on CO and make a connection at EWR to and from a variety of stations. With Option 2, you earn miles from New York City to BOS or DC, "no connecting flight required."

OPTION 1: Earn Base Miles, Elite Qualification Miles and Elite Qualification Point(s) (on qualifying fares) per Coach or Business class segment on Amtrak when you fly on Continental and make a connection at Newark Liberty International Airport to/from any of the following Amtrak destinations: New Haven Rail Station, CT; Stamford Rail Station, CT; Philadelphia 30th Street Station, PA; Wilmington Rail Station, DE. See the chart below for codeshare mileage accrual information.

OPTION 2: Earn 500 Base Miles, 500 Elite Qualification Miles and one Elite Qualification Point per Business class segment or 750 Base Miles, 750 Elite Qualification Miles and two Elite Qualification Points per First class segment on Metroliner and Acela Express trains (no connecting flight required) between New York's Penn Station and the following train stations: Boston's South Station, MA; Boston's Back Bay Station, MA; Boston's Route 128 Station, MA; Washington D.C.