Yes.
"Deleting" a file doesn't actually delete it; it just marks the
space as available to be used. There are third-party programs that
can sometimes recover deleted files. The problem is that the space
used by the file is likely to become overwritten very quickly, and
this makes the file unrecoverable.
So your chances of successfully recovering this file are decent if
you try recovering it immediately after deleting it, and rapidly go
downhill from there. If you've been using the computer since then
(for example to write this question and read this answer), your
chances are probably very poor by now.
But if the file is important enough, it's worth a try anyway. Stop
using the computer in question immediately, if you haven't done so
already. Download an undelete program (here's one:
http://www3.telus.net/mikebike/RESTORATION.html but there are
several others to choose from; do a Google search) on a friend's
computer and bring it to yours on a floppy to try.
If this fails, your only other recourse is to take the drive to a
professional file recovery company. This kind of service is very
expensive and may or may not work in your case.