I don't think it's possible with a WWI POD. There was considerable anti-British and pro-German sentiment in the US pre-WWI. Not enough to tip the scales or balance out the pro- and anti- feeling the other way but a good deal more than a century or so of cooperation since tend to allow popular history these days to remember. In principle, it's wouldn't be unreasonable to finesse the US into the Axis were it possible to find cause.
However, you'd need either a more desperate or a more complacent Entente, willing to risk US intervention for victory or survival. Given the extent of US supplies coming to them, that'd surely have to be desperation - so a solid German victory at Verdun or the Somme or elsewhere, leading to significant gains in the Western line, or perhaps knocking out Russia in the east in 1916 (had, say, Germany committed more major offensives there in 1915-6). But even with the risk of the war being lost entirely, what action could Britain or France take that would produce enough benefit to be worth the cost? The RN was already enforcing a blockade; battlefield atrocities might be committed, including more and earlier use of gas, but that would hardly bring the US in - on the contrary, it'd be another reason for them a country already happily isolationist to stay out; there was no strategically useful American land to be annexed for use against Germany; a harsh crackdown against domestic unrest in Ireland might prompt outrage in the Irish-American population but isn't a casus belli. I don't see how OTL America can be brought in.
On the other hand, if you start at a pre-WWI POD and have the US naturally more inclined to the Central Powers, then it becomes much more possible. Or, given that most states go to war out of perceived necessity, you have to create in the minds of Washington's politicians a potent British threat sufficiently large to justify such a move. Perhaps something like a much more aggressive British attitude over the Alaska-Canada boundary dispute, with that issue coming close to war in 1903, after the British government bent to Canadian pressure.