Apple - Secondary click in Lion with two fingers OR bottom-right corner click
Run the following six commands, by pasting them into Terminal.app. You can paste all six lines all at once. (the last two lines aren't required on older versions of OS X, but there's no harm including them) Remember to press the return key:
defaults write com.apple.driver.AppleBluetoothMultitouch.trackpad TrackpadCornerSecondaryClick -int 2
defaults write com.apple.driver.AppleBluetoothMultitouch.trackpad TrackpadRightClick -bool true
defaults -currentHost write NSGlobalDomain com.apple.trackpad.trackpadCornerClickBehavior -int 1
defaults -currentHost write NSGlobalDomain com.apple.trackpad.enableSecondaryClick -bool true
defaults write com.apple.AppleMultitouchTrackpad TrackpadCornerSecondaryClick -int 2
defaults write com.apple.AppleMultitouchTrackpad TrackpadRightClick -bool true
Important: now reboot your Mac.
When you log back in, you will be able to right-click both with a two-finger tap, and by clicking in the bottom right-hand corner.
Hope this helps.
Sadly, I don't think it's possible to do that without a third party solution. Two popular applications that allow you to tweak the touchpad and mouse are Magic Prefs and Better Touch Tool.