jQuery is good for many things related to the DOM - both querying and manipulating. Yes, we can move elements from one position to another with the help of jQuery, or add completely new elements (as in literal HTML text strings) anywhere in the DOM just by having a selector, and if a selector applies to multiple DOM nodes then adding into multiple places can be done with one call.
jQuery provides many functions for moving or adding elements/content: after, append, appendTo, before, insertAfter, insertBefore...