Of course, nothing holds true for what all Baptists believe, but according to the theology taught in our Church, there is a distinction between what we are and what we do, or at least, what we currently are doing.
From our understanding of the doctrine of original sin, it teaches that we are sinners from conception on. It does not teach that we sin each and every moment of our life, but rather that we are, by nature, sinners.
Preface: This is from a denomination that believes that you cannot lose your salvation once saved.
As believers, we are justified, redeemed, and no longer guilty of sin. However, we do, as saved believers, still commit sins. It's just that those sins are also covered by the blood of Christ. (I'm going to stop there because it's really easy to go off on a tangent here.)
Similarly, these are fast airplanes.
But at the moment, they are not going fast. The fact that they are not going fast does not change their nature, or negate the fact that they are fast planes.
Based on this distinction, the question, can we go a moment without sin is "yes".
Even though we are sinners from birth, and we are always sinners, until saved by Grace, that does not mean that we are constantly sinning. The fact that we may not be sinning at any given moment does not negate the fact that we are sinners.