Sorry for the long post. This is a tricky question. Jesus said that nobody comes to the Father except through him. Pretty specific. But the way the question is phrased is misleading, so I voted no. Being a member of the Catholic Church is not absolutely necessary for salvation, nor does it guarantee one their salvation. But it does make it a whole lot easier to stay in accordance with the will of God. The early church fathers had quite a bit to say on the fact that everyone, whether they acknowledge it or not, is connected to the Church, and part of it, through the communion of saints. Therefore, any salvation they receive comes to them from Jesus through the Church. But phrasing it as the Catholic Church being the only way to salvation is misleading. The thief on the cross next to Jesus asked for forgiveness, and it was granted to him by Jesus himself. But he was not Catholic.
Jesus, on the other hand, is absolutely essential for salvation. But that doesn’t mean that you have to believe in him or even be aware of him to have a chance at salvation. Jesus died for everyone’s sins, not just the believers. He even asked his Father to forgive the people crucifying him. Why? Because they didn’t know. They didn’t understand. The Catholic Church is very clear on this issue. People who don’t know or don’t understand are not barred from salvation. They, like all of us, are judged according to what they do know and understand.
All goodness comes from God. And if someone who is a non-believer through no fault of their own takes that goodness and runs with it, what more could anyone ask of them?
“This is my blood. The blood of the new and everlasting covenant. It will be shed for you, and for all, so that sins may be forgiven.”
Perhaps Refugium could tell us if all the people who were born and died before Jesus was given to us have any chance at salvation? Because by this kind of logic, the answer would have to be no. You complain about a supposed lack of orthodoxy, and yet everything you have said directly contradicts the early church fathers and the catechism. If Jesus forgave the pagan oppressors who whipped him and drove nails through his hands and feet, what makes you think that anyone else is beyond hope for salvation?