In a way, yes. Any community that claims itself separate from the Apostolic Church and yet is invisibly connected to the "Church of Christ" is invented. But I think there is a precedent where a person can unknowingly belong to the Church, the Apostolic Church. I think we can see this in the idea of re-baptism. Early in the Church History, about 250 AD, the Church decided that properly baptized men and women were considered Baptized, even if Baptized by heretics. So I think that there is something to be said about belonging to the Church of Christ, the Apostolic Church established by Him but not knowing it. We Latins call it "invincible ignorance". At what point this ignorance becomes obstinancy, only God knows.
Brother in Christ
The idea of the "invisible Church" applies to few and far-in-between apostate or non-Chrstian individuals who were tuched by the Holy Spirit, and is not something the Church would recommend as an alternative to the Eucharist.