Short answer: no.
Long answer:
(Assuming you're running OS X)
No, not without resetting the admin password (you'll also need a Mac OS X installation DVD - preferably closest to the current version installed on the Mac).
To be honest, the only kind of person who would want to get the admin password but not reset it would be someone trying to gain access to the administrative account of someone else's Mac - and, while I appreciate that this may not be the case, it is NEVER a good idea to break into someone's system. Even if it is because you can't run an application under the limited account.
Nevertheless - if you change your mind regarding the resetting of the password, get a hold of your OS X installation DVD and boot from it - put it in your drive, reboot the Mac, and hold down C while it reboots to do this. Select your langauge and click the right arrow button.
On this screen, the password reset app will be under either:
Utilities > Password Reset
Utilities > Reset Password
Installer > Reset Password
(depending on your OS X version)
Select the hard drive on which Mac OS X is installed, choose the admin user from the drop down box, and enter a new password for the user. Click Save. Click the close button in the upper left corner to close Password Reset. From the Mac OS X Installer menu, choose "Quit Mac OS X Installer...". Click the Restart button.
You should now find that your Mac's admin password has been reset. Please try and remember it. :)
If your Mac does not have an optical drive or you have an issue not handled by this answer, please click the Apple Support link in my Sources section.
Thank you.