Yes. The argument is something like at some point in the future the conditions causing the happiness will be gone (probably quite soon, happiness is fleeting) and so will the feeling. If that transition away from happiness upsets you then it will cause suffering so you shouldn't cling to it.

There's a related sutta (MN87) with some dicussion about how love, which is generally an even more pleasent feeling than happiness, causes suffering if clung to because we are all inevitably separated from our loved ones.