In short no.

Longer...it will help some, but it isn't the answer. The only way is either get more light (ie flash) or up the ISO. The faster aperture won't make enough difference to get shutter speeds high enough to stop action. The vibration control really has nothing to do with it. It will help if things aren't moving, but blurry images for moving things is caused by slow shutter speeds. To stop motion a faster lens and upping the ISO are the only options without using a flash.

Edit: to clarify more. VR or whatever vibration control only compensates for your moving of the camera. IE you can shoot slower shutter speeds and the VR will compensate for movement of the camera...and they usually claim 2-4 stops better performance. So you could shoot 1/10 seconds hand holding with VR and without 1/25 might be the best you can get a clean image.

The VR works exceptionally well when things aren't moving. However if stuff is moving it is somewhat worthless. Moving objects require fast shutter speeds...so even if you have VR the lower shutter speeds like 1/10 isn't going to stop the action and the objects that are moving will still blur. The only way to fix this is to get more light, up the ISO, and/or get a faster lens. A F2.8 lens is usually only a stop or two faster than a variable aperture lens though and depending on how low the light is might not make that much of a difference. It might get your from 1/10 sec shutter speed to 1/25, but you really need like 1/200 or faster...so then you have to up the ISO anyway.

I have a Nikon D5000 body and I am looking into buying the Tamron 70-200mm f/2.8 Di LD IF Macro SP AF for use with capturing low-light events indoors. I am worried about my images becoming blurry because this lens does not have Vibration Control. Will the large constant aperture aid in supressing this, especially at 200mm? Your thoughts and experiences with this lens is highly appreciated. Thank you in advance! :)