No1, all E-Stop P.B.'s or switches/limits should be in series with an E-Stop relay coil, it is often implemented with a N.O. push button with a retaining contact across it that is on the E-stop relay itself, which I think you are describing?
This PDF may help on control circuits in general.
http://static.schneider-electric.us/...0140CT9201.pdf
See fig 2 of p6 for a general idea.
Al.