Display a View Block multiple times in a region with each view using a different filter
Based on what you have described, yes.  It is not only doable, it is quite easy.

You can add different pages, blocks or even attachments.  When you creating/editing a view, click on "Add" then select what you would like.



With an attachment, you can select before, after or both for each attachment.

The key to making this work is to only set criteria for that display only.  In the example below, I am in the "Add Fields" dialog.  If you want a separate filter for this particular page/block/attachment, make sure to select "This Page (Override)"



When you do this, anything in this view will be restricted to this display only.