That's the question Politifact is asking in light of another really stupid law passed by the Tennessee legislature. I'll save you the time of clicking this link for their analysis with one of my own.
No, you fucking morons. For the vast majority of people, breathing is a gateway to sexual activity. We are biologically designed (not intelligently designed, for you morons in the TN legislature) to want to have sex. That desire may cause us to want to hold hands with someone we want to have sex with. But the act of holding hands is not causing us to have sex. So once again, the Tennessee legislature displays its shockingly horrible understanding of logic and science. And they continue to display the fact that the only gateway activity that is harming the people of TN is Republican lawmakers getting a cup of coffee to start their days filled with making stupid laws.