It really does depend on what you mean by "pagan". And what you mean by "end time".
You might suggest to your friend that they grab the nearest reference librarian and ask for help in exploring Eschatology (basically the study of the "end of the world" and while much of the literature deals with christian or jewish teaching/mythology/philosophy/theology, eschatology is by no means confined to the study of these faiths!). If they can't get to the library (or a 24/7 online librarian), a good starting point might be the Pagan Theology wiki article on pagan eschatology
Many modern pagan recon traditions do have prophecies/traditions that anticipate periods of ending/renewal, etc. Other pagan traditions (often those that were established more recently, actively embrace the "neopagan" lable, or which rely more heavily on syncretic practices) don't. And if your friend is using "pagan" to cover all faiths outside the so-called big three (Christianity, Judaism, Islam) then there are many religions that include beliefs in an ending/renewal scenario (for example, Hindu teachings about the "ages" of the world).
Just off the top of my head, many Norse recon groups hold to a belief in an end time/world renewal (Ragnarok). Both Greek and Celtic recon groups talk about "ages" and the ending of those ages. Groups that follow a Mayan recon tradition anticipate an end/beginning with the coming "end" of their calendar.
I think the primary difference in how "end times" are expressed by different faiths has to do with "and then what happens?". Many pagan (recon as well as neopagan) groups are explicit in the thought that ending=beginning=ending=beginning in a sort of eternal cycle of change. Sort of reincarnation writ large. While other faiths teach that the "end time" is more of a one-time event with a clear before and after.
Sounds like a fun research topic though!