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Sure. Here is some of its air-to-surface capabilities. No reason why missles couldn't be tipped with small nukes.

Air-to-surface missiles carried on the F-16 include Maverick, HARM and Shrike missiles, manufactured by Raytheon, and anti-ship missiles include Boeing Harpoon and Kongsberg Penguin.

The first guided launch of the new Joint Direct Attack Munition (JDAM) was successfully carried out from an F-16 and the F-16 was the first USAF aircraft to be fitted with the Joint Standoff Weapon (JSOW) in April 2000.

The F-16 can be fitted with Lockheed Martin Wind Corrected Munitions Dispenser (WCMD), which provides precision guidance for CBU-87, -89, and 97 cluster munitions. The system corrects for launch transients, ballistic errors, and winds aloft.

The F-16 will be the first aircraft to use the USAF's new weapon rack, the Edo Corporation BRU-57. The BRU-57 is a vertical ejection rack which doubles the aircraft's capacity for precision-guided weapons like JDAM and WCMD.