can the holy spirit be taken from you?

I always had the notion that once you were saved, you have the holy spirit and it could not be taken.

>Cast me not away from your presence, and take not your Holy Spirit from me. Restore to me the joy of your salvation, and uphold me with a willing spirit.

Psalm 51:11‭-‬12 ESV

Now this is in Psalms, so I'm not sure if it applies to the new testament idea of the holy spirit.

I just thought this was interesting.