Yes, the majority of power generated in the US generates GHGs unlike Canada where I live where over 80% of electricity is from non GHG sources but even if you charge an EV from the grid you still generate fewer GHG than an ICE vehicle and as the grid becomes greener it gets even better. Have a look at this video, he does a good job of explaining it and debunking some of the myths.
https://www.youtube.com/watch?v=G67i_Z8ukD4
https://blog.ucsusa.org/dave-reichmu...even%20higher.