There are both 32bit boxes with Intel graphics only, and 64bit boxes with an Nvidia GPU.
From here, I cannot tell which one OP's box is.
I went from the description. I looked up the Veriton VN282G - it has the D525 Atom with ION2 and the D525 is also mentioned by the OP. I have that CPU and graphics on an Asus ITX board (and I know that combination works with current LE), therefore it's highly likely this particular Acer Veriton can also work, even if it's an old platform and perhaps not supported in major updates in the future.
All I want is for this to be my NAS system It was where I had all of my external hard drives with all my movies and if I wanted to watch a specific movie I would use one of my Android box, go to that named computer pick out my movie and watch. That is all I need from this unit.
In your first message you implied that you wanted it as a player (moving from the old OpenELEC to LibreELEC). Now you seem to be suggesting a different use case where the player is an Android box of some kind, and the PC is hosting the storage for that player. Depending on the storage type, amount, number of movies, etc, that could require a different approach, and LibreELEC on the Acer box may not be the best way forwards (it's primarily a media player, not a storage manager, after all). For using the Acer box as a NAS you could look at FreeNAS or something (not that I have any experience of it), but given your apaprent lack of experience I would be reluctant to push you in that direction.