Yes there is a chance! It all comes down to the model. The OP has a SS Series 3 and right here on Macrumors there was Front Page article from May 20th that covered the details of the Apple internal memo.
Dave
Link: https://www.macrumors.com/2019/05/20/apple-watch-series-3-replacement/
Some Apple Watch Series 3 Repairs Can Now Qualify for Series 4 Replacement
Monday May 20, 2019 7:25 am PDT by
Mitchel Broussard
Apple has informed its retail staff that it will substitute some
Apple Watch Series 3 repairs with the Apple Watch Series 4, due to low inventory on the older model. The announcement was spotted by an internal memo delivered to staff and Authorized Service Providers, seen by
9to5Mac.
Now, customers looking for a repair or replacement of the stainless steel Apple Watch Series 3 with GPS and cellular, can instead receive the stainless steel Series 4 model with GPS and cellular. The change is said to apply to
Apple retail stores and ASPs globally, but it's unclear at this time if the Series 4 upgrades are a permanent solution to the Series 3 shortages.
Apple's new repair/replacement upgrade for the Apple Watch is the latest of several instances of the company substituting Apple Watch repairs with newer models. This
began in January, when the company announced that some first-generation Apple Watches and Apple Watch Series 1 could qualify for Series 2 replacements, due to supply constraints on repair parts for the older models. Then,
earlier in May, Apple confirmed that repairs of certain
Apple Watch Series 2 models will be fulfilled with equivalent Series 3 models due to temporary shortages of unspecified Series 2 parts.
To initiate a repair, head to the
Get Support page on Apple's website and book an appointment with an Apple Store or Apple Authorized Service Provider. As usual, it's not guaranteed that all locations will acknowledge existence of this internal policy, especially given that there is no definitive end date, so your mileage may vary.