Yes you can do this. First create a content type, for example an
article then create another content type called
gallery and insert your images in there, its display must be slideshow. download and install entity module and create a reference from
article. in this way you can determine which image belongs to which
article. download and install eva module. go to this link, it is a very good tutorial of
eva module (you also need to set a contexual filter which in your case is going to be your article), then as I have asked in this address a filed which is your slideshow will be attached to the manage display of
article content type. now it is field of
article nodes and can be reordered.
"Eva" is short for "Entity Views Attachment;" it provides a Views display plugin that allows the output of a View to be attached to the content of any Drupal entity.
The placement of the view in the entity's content can be reordered on the "Field Display" administration page for that entity, like other fields added using the Field UI module.