No, I think "knowledge" in this passage refers to the gift of supernaturally-revealed information, rather like the gifts of tongues and prophecy, which Acts 2:17 links back to Joel 2:28-31, which in turn is linked to Numbers 12:6.
Knowledge of facts, present and future, thus gleaned could be described as the partial counsel of God, which fits with the language of 1 Cor 13:13.
Accordingly, verse 12 would mean that these three modes of supernaturally revealed information would cease, and verse 13 would mean that the actual end-product of this revelation would be incomplete or piecemeal in nature. Verse 12 focuses on mode; verse 13 focuses on facts revealed from the modes.
Finally, please note that the passage is referring to the temporal world, not the temporal plus eternal worlds. This is clear because faith and hope, both of which do not continue in the eternal world, are said to be abiding compared to the gifts of tongues, "knowledge", and prophecy. However, I think all knowledge will be revealed in the eternal world, so even if some of it were to "vanish away" in this world, it would be made known in the next (Luke 12:2). Nevertheless, "knowledge" in 1 Cor 13:8 is contextually an extraordinary revelatory gift of the Spirit.
