This article is from the ER FAQ, by Rose Cooper firstname.lastname@example.org with numerous contributions by others.
Yes, quite a bit. And, as of April 30, 1998, there is a place on
Usenet specifically for it: <alt.tv.er.creative>, the newsgroup for posting
and discussing "ER"-related fan fiction ("fanfic"). Following is the charter
Appropriate topics for alt.tv.er.creative include: "ER"-related fanfic
("ER" characters and general storyline) and discussion of "ER"-related
fanfic. alt.tv.er.creative, unlike some *.creative newsgroups before it,
would welcome "ER"-related fanfic itself, as well as discussion of that
fanfic. Topics not appropriate include: discussion specific to the series
itself (should be posted to alt.tv.er or uk.media.tv.er as applicable),
spam, binaries, or other posts not involving "ER"-related fanfic.
The general Alt.TV.ER FAQ, with links to "ER"-related fanfic websites can
be found at <http://www.digiserve.com/er/>; alt.tv.er.creative may have its
own specific FAQ created at a later time.
In addition, there are a few ER fanfic webpages cropping up out
there; many are now listed on The Alt.TV.ER Links page
<http://www.digiserve.com/er/erlinks.html> (Note: this is neither an
endorsement nor a denouncement of fan fiction. You be the judge...)