you won't be able to install the binary deb from 13.04 because it depends on libc6 >= 2.7 (and 12.04 has libc6 2.15), but I don't see any reason why you shouldn't be able to build a binary package for 12.04 from the source package.
First you'll need to add the deb-src line to your /etc/apt/sources.list Eg. something like:
deb-src http://jp.archive.ubuntu.com/ubuntu/ raring multiverse
Install the packages required for building lmbench:
sudo apt-get update
sudo apt-get build-dep lmbench
Then download the src package and build it. Eg
apt-get -b source lmbench
If all goes well you'll then have binary deb of lmbench for Ubuntu 12.04.