Absolutley. The IR is only a small percentage of the light being emitted from a DPSS laser. The reason it is harmful is because it is invisible, you have no blink reflex when it hits your eye.
In higher powered DPSS lasers (>5mW), the green will also do a great deal of damage to your vision if you are not protected with safety glasses.
Also, if you have any old webcams, or digicams lying around, you can disassemble them, get to the bit between the CCD and the lens, and you should find a small square piece of glass with a coating on it (sort of reddish/blue/green), and that's the IR filter.
If you remove it, you can place it over the aperture of your green laser and hey presto, you now have an IR filtered laser, AS WELL AS an infra-red capable camera/webcam.
you can then use the camera to see IR light.
Great for seeing how effective an IR filter really is, first-hand, as otherwise it's invisible.
I took one from an old 2.1 megapixel canon camera, and was surprised to see how bright the IR coming out of one of my greenies was, and how it completely disappeared once it was filtered.