I want to integrate my existing Elkarte forum with one of my WordPress site, Is it possible?
What kind of integration are you looking/hoping for?
Plugin which will show forum posts in my WordPress page
I don't know of any that do this, and I'm not quite sure how you would like this displayed either if I'm honest.
Login integration is more common.
Showing the post should be rather easy with SSI, there should be an handy function for that (afk tpday, can't remember the name).