Of course. But, there is a physical side to spirituality. The last great struggle in the deposit of the faith, decided by an Eucemenical Council, was over the Holy Icons. Icons, basically are paintings that are displayed in the church. A group arose that called them idols, and they were removed. The faithful persisted until they were restored.
Why were "paintings" important? Because, the icon bashers said it was not fitting to portray our Lord or the saints in paint on wood. The icon lovers maintained, correctly, that it was correct and affirmed the Incarnation. That is, the Incarnation sanctified physical matter, so it was proper to depict holy people and events on physical material.
Likewise, the traditional posture of the priest, facing in the same direction as the people, speaks visually of the spiritual reality of the priest's role.
The priest's job is offering the Sacrifice. So he needs to be facing in the direction of to whom the Sacrifice is being offered.
This is the Orthodox position, not the Roman Catholic position.