Yes.
Other answers describe the svn command line - this is for the turtle GUI:
From http://tortoisesvn.net/docs/release/TortoiseSVN_en/tsvn-dug-rename.html
If you want to move files inside your working copy, possibly to another subfolder, use the right-click drag handler:
- Select the files or directories you want to move.
- drag them to a new location inside the working copy.
- release the right mouse button
- in the pop-up menu, select Context menu → SVN Move files with version here