Yes. FreeBSD currently runs on both Intel x86 and DEC (now Compaq) Alpha architectures. Interest has also been expressed in a port of FreeBSD to the SPARC architecture, join the FreeBSD SPARC porting mailing list < freebsd-sparc@FreeBSD.org> if you are interested in joining that project. Most recent additions to the list of upcoming platforms are IA-64 and PowerPC, join the FreeBSD IA64 porting mailing list < freebsd-ia64@FreeBSD.org> and/or the FreeBSD PowerPC porting mailing list < freebsd-ppc@FreeBSD.org> for more information. For general discussion on new architectures, join the FreeBSD non-Intel platforms porting mailing list < freebsd-platforms@FreeBSD.org>.
If your machine has a different architecture and you need something right now, we suggest you look at NetBSD or OpenBSD.