Yes, as loving someone generates an empathy that entails sharing in both the joys and tribulations of the other. Cranfield1 rightly points out that this empathy is not restricted to the circle of Christians among each other but extends to all people. It flows from this that you bless
even persecutors by showing empathy to them (Romans 12:14). As such Paul writes in Romans 12:15 that we ought to [r]ejoice with those who rejoice, weep with those who weep.
The American New Testament scholar2 however, restricts this empathy to the Christian community (which, according to him, originally consisted of house churches who were sometimes rivals). The apostle, while writing about Christian love in this passage, also speaks of our relations with non-Christians and even persecutors, which does not in any way conflict with the theme of the passage, because Christian love must also shine outside the church, while remaining rooted in Christ.3
15 Rejoice with those who rejoice, weep with those who weep.