Yes you can. Word of warning, if you mess up grub it can cause your system to not start.
You have two main options - manually edit the config files for grub2 in Linux, or you can use a GUI program called Grub Customizer to somewhat simplify the process. If you are completely new to Linux, I would suggest using Grub Customizer.
This link explains how to install Grub Customizer in Linux Mint (enter the terminal commands starting with "sudo add-apt-repository ppa:danielrichter2007/grub-customizer") - https://launchpad.net/~danielrichter2007/+archive/grub-customizer
This link explains how you can manually remove entries from the grub2 menu by editing the relevant files - http://community.linuxmint.com/tutorial/view/910
NOTE I've edited the link for how to install as the first one I used gave instructions for compiling the program from source in Linux Mint Debian Edition. It's simpler just to use the Ubuntu method, as Mint 16 is an Ubuntu derivative.
Edited by jonuk76, 28 December 2013 - 04:56 PM.