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.
It is upon that distinction that this question can be answered.
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.
From http://sbcheritage.com/baptist-statesman-james-boyce-on-original-sin-and-imputed-guilt/
The Scriptures plainly assume and declare that God righteously punishes all men, not only for what they do, but for what they are.
Men are indeed represented as more guilty and sinful than they know
themselves to be, because, through the restraints with which God
surrounds them, their natures have not been fully developed into all
the sin towards which they tend. This is the argument of the first
part of the Epistle to the Romans, the turning point of which is
Romans 2:1. It is also illustrated in the case of Hazael. 2 Kings
8:12, 113.
It follows from the facts in these last two statements, that a corrupt nature makes a condition as truly sinful and guilty, and
liable to punishment, as actual transgressions. Consequently, at the
very moment of the birth, the presence and possession of such a nature
shows that even the infant sons of Adam are born under all the
penalties which befell their ancestor in the day of his sin. Actual
transgression subsequently adds new guilt to guilt already existing,
but does not substitute a state of guilt for one of innocence.
[Emphasis Added]
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 this picture was taken, they were 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.
Other comparinsons:
- A thief can go a moment without stealing, but is still a thief.
- A murderer can go a moment without killing, but is still a killer.
All of the above provides the framework for the argument that it is theoretically possible. Specifically, you asked if any Christian denomination actually thinks it's possible, and the answer is a resounding "yes". There are more than one, but here is one Church's view.
John warns that we should never think that we immune to the problem of
sin. "If we say that we have no sin, we deceive ourselves, and the
truth is not in us" (I John 1:8). Therefore, we must ever be vigilant
against sin. "Therefore let him who thinks he stands take heed lest he
fall" (I Corinthians 10:12).
However, I know of no passage that claims that a person sins daily.
Instead, the Christian is told to strive to remove sin from his life.
"What shall we say then? Shall we continue in sin that grace may abound? Certainly not! How shall we who died to sin live any longer in
it?" (Romans 6:1-2).
"Awake to righteousness, and do not sin; for some do not have the knowledge of God. I speak this to your shame" (I Corinthians 15:34).
The goal is not to sin. If we do stumble, we have a way out.
"My little children, these things I write to you, so that you may not sin. And if anyone sins, we have an Advocate with the Father,
Jesus Christ the righteous" (I John 2:1).
But it would be false to conclude that such sins occur daily or are
even necessarily frequently. The Christian is striving to become like
Christ, who knew no sin. "But, speaking the truth in love, may grow up
in all things into Him who is the head -- Christ" (Ephesians 4:15). We
won't reach the perfection that Christ has, but we do strive to
imitate him. Thus, in that growth, if we are successful, one would
expect to find the occurrences of sin to become less frequent as the
Christian gains skills in battling sin. "Therefore submit to God.
Resist the devil and he will flee from you" (James 4:7).
Think of it this way, did Jesus give the adulterous woman an
impossible task when he told her, "go and sin no more" (John 8:11)?
