As this involves one particular object, this is going to be an inexact science of counting and estimating.
Incidents that have reached the web and social media can be easily be recorded, but considering that there are possible isolated cases that didn't amass public attention, it is virtually hard to come up with a decent approximation.
One of the known cases of choking on a jawbreaker that resulted to a heartbreaking death was reported in 2012. A young boy, Kane Wade, residing in Liverpool, England, has died after he choked on the hard candy. See Imperfectparent.com for details.
When it comes to choking hazards involving candies, statistics published online are generalized and normally do not specify what type of candies are involved. They're just categorized simply under candies.
Such statistics are as follows:
Of the 17,000 or so cases of pediatric choking in 2001, nineteen percent resulted from candy or gum, according to Centers for Disease Control and Prevention.
A study (2001–2009) published in the journal Pediatrics, showed an average of 12,435 children a year (34 a day) are treated in emergency rooms for choking injuries - and candy is a big culprit. Their research showed that of all food types, hard candy was most frequently (15.5% [16 168 cases]) associated with choking, followed by other candy (12.8% [13 324]), meat (12.2% [12 671]), and bone (12.0% [12 496]).
See Recent Statistics on Choking shared by UBC.ca.
Tip! To prevent choking in children, keep small objects out of reach, cut food into small pieces and don't let them have hard candy. Young children should be supervised while eating and playing. - NSC.org.