No. Assuming that all countries are involved in frictionless trade, the world's total imports and exports will be zero or trade jargon, and trade will tend to be balanced. All countries that export more than imports are physically impossible, because it means that the world has a surplus of goods, which cannot exist without corresponding deficits.

In practice, trade is not frictionless, trade balance also includes foreign investment and foreign spending in the domestic economy, and countries often use creative national accounting to intervene in trade figures, so I wouldn't be surprised if sometimes the world's total trade surplus.