Not quite (but almost; the only benefit from being a full Wyrmling Silver Dragon at the moment is the skill set, and the non-dispellable aspect);
Dragon Hit Dice do not necessarily match any particular type; however, if you take a dragon HD, I'll have it anchor the Great Warping (no going back, short of Wish...) which will essentially do the same thing. A Wish to transmute the Magical Beast (Wolf) hit dice would lose you the benefits of those HD (Saves, BAB, Hit Points, the 8 ranks in Survival, and the 15th level feat, as well as the assorted benefits of being a magical beast (which are pretty much all totally covered with the Dragon Hit Die anyway)) and all the penalties of them (counting against your XP and ECL) from that point onward; you would then get a Dragon Hit Die (Silver), which would mean a d12 roll for hit points, 6+Int Modifier skill points to spend (class skills: those of the Silver dragon: Bluff, Disguise, Jump, Listen, Search, Spot, Concentration, Diplomacy, Escape Artist, Intimidate, Knowledge (any), Sense Motive, and Use Magic Device); you wouldn't advance to Very Young (that would take you 5-6 years and 10 HD (levels) worth of advancement). You would also then count as ECL 14, and start gaining XP faster.