It is a synonym for the already existing term Can't be arsed that means unwillingness, lack of motivation to perform a task or not feel enthusiasm anymore about something. People around america use this definition, as they don't hear the word arse too often.
Example1:

A: Hey man! Want to go exercise on the park?
B: No mate, I can't be annoyed (cba) to do that.

Example 2:
A: Yo, I heard you quit playing that game.
B: Yeah, I can't be annoyed (cba) about it anymore.
by EfkinJoleon June 19, 2020
Get the Cba neck gaiter and mug.
(Can’t be Arsed) Cba- A word used in slang Of how someone acts. someone who acts like it. Ellie Taylor
by RIYAAD_13 March 21, 2018
Get a Cba mug for your girlfriend Sarah.
Chief Bad Ass, title reserved for those primarily in charge of badassery. Also included is GSD (Getting Shit Done) and general dankery.
Whoa, I heard that guy is CBA of Generico. Stay outta his way...
Other guy: Sooooo... badass.
by SamParadis July 10, 2017
Get a CBA mug for your brother-in-law Bob.
A exam for 2nd and third year students which creates great stress especially during a pandemic.
Person 1: Why are you so stressed
Person 2: I’m doing my CBA’s

Person 1: Oh you poor thing!!
by Someone from the world..... January 23, 2021
Get a CBA’s mug for your fish Manley.