Well it's not impossible but not too probable.
Because of natural impediments to seahorses like nasty bacteria and pathogens they haven't been raised up exposed to, a reef tank setting is almost a death sentence.
Sometimes one lucks in to seahorses with systems that are able to resist these problems, but the majority are lost in the attempts to do so.
In the wild with the ever changing water flow, this is not so big a problem, but in our captive tanks, the nasty bacteria and pathogens can get out of hand, especially as temperatures get above 74°F. Exposure to other fish can lead to exposure to pathogens their systems may not be able to handle.
Seahorses can handle decent flows in the 10X to 20X range as long as there are areas of low, medium and high flow with hitching in each area and as long as no flow is strong enough to blow them against something and get damaged.
Any stinging corals are out, same with anemones.
Some sps type corals don't do well in seahorse water as it's too dirty from seahorse eating habits that leave a lot of uneaten food that can be trapped out of sight and provide bedding and food for the nasty bacteria.
They also masticate their food upon snicking it, and pass out micro particles into the water column further degrading the water quality.
It's my thoughts that the best chances of success in keeping seahorses will come with species dedicated systems, with overrated filtration and very overrated skimming. Even then it's no guarantee that you will succeed.