Not sure about the stock app, but handcent you can

 

If you go to your messages - menu - settings. Is your "play notification sound" & "vibrate" still Ticked? If not, enable "received notification", tick "play notification sound" & "vibrate", then untick "received notification" again. works on my side.

 

+1 for handcent.

 

I tried Handcent, yes a great program, but so many options!! I just want to send/recieve texts is that so much to ask for?

found handcent a hinrance due to loading adverts, i would pay you to not have adverts as it does drain my internet and battery!

other than that a great program.

 

I find that these are only on the settings menu, which I used once to set my settings and left, so shouldn't really be any further hinderance?!

 

Handcent is a cool app.