Is it permissible for a priest to celebrate the Liturgy of the Word in its entirety facing the congregation, but then to perform the Liturgy of the Eucharist facing the crucifix, i.e., with his back to the congregation?

I ask because I am curious, since I am in discernment, if and when I may be ordained if I will be able to do this. I personally think there's a very mysterious beauty involved in offering up the Eucharist during the consecration facing the crucifix. I believe it represents a kind of special intimacy with Christ and an extra emphasis on the intensely sacred nature of this part of the Mass, as well as the focus being on the entire congregation with the minister facing the crucified Christ who gave Himself up as a sacrifice, and continues to manifest Himself and His sacrifice in the Eucharist. Thus, in my opinion, it is a profound spiritual statement. But, my opinion must be utterly subordinate to the GIRM and what the Church allows Her priests to do during the Mass.

This is not to say I am stating that it is in any way less reverent at all to celebrate the entire Mass facing the congregation, but this is just my feeling on the matter. Is this allowed by the Church?