Yes. You were in a state of not knowing, and in the course of something (either a period or an experience) that state changed. You didn't know at first, but after the <whatever> you did - you came to know:
During my first days at the new job I came to know many things that I had been unaware of until I became a bank clerk.
I am came to know that this word has many meanings.
Is this sentence appropriate?
You certainly cannot say "I am came to know."
There is an archaic form "I am come to know," which is also not heard.
We have a vernacular expression "Come to find out."
> "I wrote him a lot of personal email. Come to find out -- he was married!"
> "Guess what? I've just come to find out that they're laying off everyone in this department."
> "I waited outside the ticket booth for an hour. Come to find out -- the show was canceled."
> "Keep it up, kiddo. You'll come to find out how wrong you are."
Here are some spontaneous uses of "come to find out" that I found on line:
> She took the kids and moved to Oregon. Come to find out months after she moved that she moved there because of a guy she met on line.
> Come to find out, my in-laws having been watching Fox, too.
> Come to find out, JJ is a pretty interesting dude!