Forum Thread: Is there any way to send a keylogger to a android device over wan using Kali linux??

Nope. Even if you did get it onto the victim's phone, You would need someone to run the apk file. It's pretty useless if the file's there on its own.

However, what you could do is make a persistent Keylogger (using Metasploit), and send it to him (email, if possible) and let him run it.