If the definition of charismatic is believing in baptism of the Holy Spirit or the gift of tongues, yes, there are charismatic churches within the FIEC.
Well, I know there is at least one because it's one I attend!
My church is Pentecostal leaning and a lot of Pentecostals attend but is, technically, non-denominational.
I wouldn't say charasmatic/Pentacostalism is the main part of the congregation but I haven't really explored it that in depth to be sure. I just know that the 'gifts' of the Spirit mentioned in 1 Corinthians (I think) and the gift OF the Holy Spirt in Acts etc are embraced as truths by this church which was confirmed via their sermon.
At that sermon, it was also mentioned that tongues, specifically, can be theologically controversial but they alluded, without directly stating, that they believed it to be a gift that remains for some.