No you can't play with PS4 players because Call of Duty Mobile isn't on console. However you can play Call of Duty Mobile on PC with your mouse and keyboard, but on mobile you will play against PC players only if you play with friends that are playing on a PC. Can Call of Duty mobile be played with PS4 players?

Call of Duty: Mobile is compatible with Android devices with at least 2 GB of RAM and running Android 5.1 and up, and on iOS devices with at least 2 GB of RAM and running iOS 9.0 or later.