It’s like saying “ someone was all down your back” or being all in your business or can mean someone came off at you wrong.
Beating down my block ( Block as in your own lane or street) similar but different when folks say “stay in your lane”
Boy: somebody blowing your phone up.
Girl: don’t be beating down my block! (don’t be all in my business)
Supervisor: They getting behind because you can’t seem to keep up quick, Omg watch out!
Me: You ain’t gotta beat down my block like that. ( you ain’t have to come off at me like that)