Most F-16s do not have drag chutes.
USAF F-16C/Ds do not have drag chutes but drag chutes were installed on Dutch, Danish and Norwegian F-16A/B MLUs. Consequently, Chilean F-16A/Bs have drag chutes as they purchased surplus Dutch F-16s. The Belgian F-16s have the same chute-box in the tail but instead they were carrying the CARAPACE ECM suite I believe. Drag chutes are also used on Turkish F-16C/Ds, I’m not too sure about the Greek F-16s. The Venezuelan F-16s also have drag chutes and so do the new Iraqi F-16s, Indonesian F-16s and Taiwanese F-16s.
I believe the Singapore Air Force F-16C/Ds have them as well though I’d need to double check that.
The website of the manufacturer of F-16 drogue chutes states the following:
NOTE:U.S. stock numbers are not available for all components of the F-16 Deceleration Parachute System because the deceleration parachute is not utilized in the United States Air Force F-16 Aircraft. This system applies to F-16 Aircraft sold to the Netherlands, Norway, Indonesia, Taiwan, Greece, Turkey, and Venezuela.