Yes, but the Church in your post is St Andrew’s or Sant’andrea della Valle. The picture is clearly that of St Andrew’s crucifixion with the traditional X shaped cross. Though this or similar art works of saints with crosses, or holding crucifixes etc, cannot replace an altar crucifix itself.
In my post the Church in question is All Saints, not St Peters. While a man crucified upside down would predictably, though incorrectly, be interpreted as ‘satanic’ by many it could easily be shown to be St Peter, and not Christ on a crucifix. The salient point though, is the dove on the cross. I am not aware of a tradition that said the Holy Spirit in the form of a dove, or even a simple dove for that matter was crucified for their witness to Christ. I’m just not sure what point the artist, presumably this was commissioned, was trying to make in the most prominent and visible work of art in this church? It just puzzles me. It’s almost as if they have gone out of their way to remove Christ from the cross, why it has to be inverted I don’t know, and all of this above the Altar, where Christ’s sacrifice is re-presented daily, and traditionally a crucifix is prominent. The use of the processional cross seems almost an afterthought, a quick fix solution to the fact that a crucifix is supposed to be in close proximity to the altar for mass.