It is okayed for the Church. I posted this a couple of replies back, but I’ll post again.
[quote=GIRM]The Rite of Peace
- The Rite of Peace follows, by which the Church asks for peace and unity for herself and for the whole human family, and the faithful express to each other their ecclesial communion and mutual charity before communicating in the Sacrament.
As for the sign of peace to be given, the manner is to be established by Conferences of Bishops in accordance with the culture and customs of the peoples. It is, however, appropriate that each person offer the sign of peace only to those who are nearest and in a sober manner.
The manner given is not a matter for the Holy See to decide, as it has been delegated to the local Conference of Bishops. I would say that a handshake is in accordance with the customs of the US, wouldn’t you?
Yours in Christ,