Did the Aztec Empire lasted several decades after the arrival of the Spanish?

No, the Aztec Empire did not last several decades after the arrival of the Spanish. The Spanish, led by Hernán Cortés, arrived in 1519 and, following a series of battles and alliances, captured Tenochtitlán in 1521, leading to the fall of the Aztec Empire. This rapid conquest resulted in the dissolution of the empire within just a couple of years after the Spanish arrival.