One of the German words for Imagine is Einbilden, which I believe literally translates to "in-picture".
This made me think of the fact that Imagine itself has the prefix Im-, which (together with In-) is often correlated with the German Ein- (Impression = Eindruck, Import = Einführen, Intimidate = Einschüchtern, etc.).
The current etymology by wiktionary doesn't break Imagine like this. Though I was thinking perhaps Imagine could be broken down to Im + latin ăgo ?