Not quite; the first attack happened at approximately UNIX time 1000210380, which isn't quite as round as "1 trillion milliseconds". (It was about 2 days after 1e9).
The St Nicholas Orthodox church sat at the base of the Twin Towers, because it was there for 100 years and they wouldn't take the money to rebuild it elsewhere. They probably served their last Divine Liturgy there on Sunday 9/9/01 as a last blessing before it was destroyed that Tuesday.
