Yessss!!
Spoiler for Flash under the "keep reading" thing.
However, Frost and Caitlin do end up in different bodies, sadly.
It's honestly kinda disappointing in a way that they do this (at least it is to us) but yeah.
- Shay ๐พ | & maybe a DC Arrowverse related fictive; Curren ๐นโก๏ธ๐พ
For the first two seasons of The Flash, all we see is Caitlin Snow. A Killer Frost appears in season 2 but she's a different Caitlin from an alternate reality. In season 3, it's revealed that the main Caitlin has powers and becomes Killer Frost herself.
It's a little unclear how Killer Frost works in season 3. Is she another personality? Or is the transformation just changing Caitlin's mood to make her angrier and "colder."
Season 4 confirms her as a whole other person though. And it shows Caitlin and Frost having internal conversations with each other just like other systems. Caitlin and Frost gradually learn to accept each other throughout the series, and you can see Caitlin letting Frost regularly front to live her own life in season 6.