I found an interesting article that may tell you what you don't want to hear. It depends on which Samsung device you have S-Health on
Jawbone UP3 review: Compatibility and Verdict | TechRadar so if its not in the list of Samsung devices below you will have to wait.
The Android side of the compatibility equation is even messier. According to the Jawbone website, the UP app is compatible with phones from HTC, Sony, LG, Samsung and Motorola.
More specifically, the compatible devices are: the HTC One, HTC One (M8), HTC Droid DNA, HTC One Max, LG G3, LG Nexus 4, LG Nexus 5, Motorola Droid mini, Motorola Moto G, Motorola Moto X, Motorola RAZR M,
Samsung Galaxy Grand 2, Samsung Galaxy Note 2, Samsung Galaxy Note 3, Samsung Galaxy S3, Samsung Galaxy S4, Samsung Galaxy S5, Sony Xperia Z1, Sony Xperia Z1 Ultra, Sony Xperia VC and Sony Xperia ZL.
I find it rather pathetic given it doesn't support the latest Samsung devices or any of the others. For me this is the biggest issue with wearables and their connectivity or lack there of.