Can one remove your name given under Acknowledgements and that too from an article published[?] way back in 1984?

From Journal point of view, it is not possible and makes no sense. 

But i think you should write an mail to the editor of the journal. 

I agree with Raju Thapa

obviously, i also agree with Raju sir, you should write an mail to editor of the journal.  They will have some way to remove it.