No, because warforged are primarily composed of wood.
Warforged, as noted in other answers, are living constructs composed of wood and metal:
Warforged are formed from a blend of organic and inorganic materials. Root-like cords infused with alchemical fluids serve as their muscles, wrapped around a framework of steel, darkwood, or stone. Armored plates form a protective outer shell and reinforce joints.
Looking at that, we can see that the vast majority of their bodies are composed of alchemically-infused wooden cords that act as their muscles, wrapped around a metal, darkwood, or stone skeleton and plated in metal. This means that the majority of their bodies are made from wood.
This is consistently supported by the artwork of them since their introduction in DnD 3.5, which has consistently depicted them as being made from wood covered in metal plates (though sometimes the wood is only barely visible through the cracks in their armor plating). You can see this in their wiki pages on the Eberron and Forgotten Realms wikis, which together include artwork of them across the editions they've existed.
As such, they do not qualify as "A creature made of inorganic material", because the majority of their body is composed of organic materials - and the wording of the spell implies that any level of organic composition disqualifies them from that particular effect.