Something like that - the US cutting off arms to the Batista regime that Castro would overthrow is often considered the death knell for the dictatorship, but the US did not trust Castro, and largely snubbed him during his trip to the US, offering only mid-level officials for talks. When Castro nationalized industry in Cuba, including American-owned industry, the attitude turned from cool to cold; and Castro, then forced into a position where his large, belligerent neighbor with a history of overthrowing leaders ‘unfriendly’ towards its interests was not fond of him, accepted Soviet aid, which turned the US attitude from cold to hostile.

Lest it appear too one-sided, while I would definitely regard the American missteps by the Communist-paranoid Eisenhower administration (ironically) leading to this scenario, Castro also made a conscious choice to realign with a more authoritarian outlook, including executing former supporters who expected him to run a democratic socialist regime after relations with the US soured.