No....any time you use a long shutter speed you will introduce noise. That's why cameras are putting in long exposure noise reduction. It doesn't matter what ISO you're at, a long exposure will generate more noise than a shorter exposure. With a lower ISO you have to have a longer shutter speed than a higher ISO. Even though higher ISO's produce more noise, if you open up the aperture and use a higher ISO you are able to use faster shutter speeds than a low ISO and smaller aperture. The noise from the longer exposure will often outweigh the noise of a higher ISO but faster shutter speed.
As you leave your sensor powered longer, you're going to introduce noise - you will notice hot pixels, etc. which are not normally visible during faster shutter speeds.
Does this make sense?
This is just a suggestion as you may find different cameras produce different results from something like this. You would need to test it but I'm just offering it as a possible way to help improve the shot.