No.
Why? Because Magic doesn't have to special or rare? I get it, in Dungeons and Dragons, Warhammer, Lord of the Rings, and all those High Fantasy settings, magic was some power that was mythical and rare. Rumors were always spread about it, most mages weren't trusted and the like. But usually there are two types of people that have these issues with magic. Those who wish to have special characters to feel better about themselves, and those who are upset because something happened in character that pissed them off. Yes, not all players are able to magic roleplay properly, it's true, but not all players can roleplay swordfighting, archery, alchemy, and even talking properly.
Just like magic, swordfighting, archery, and any other form of physical combat must be taught, you can always try the Mage's Guild, or start up your own guild. It's not something you just do, yes you can pick up a sword and swing it, but no you cannot start fighting three people at a time, swinging two blades, countering and parrying away for your life. Yes you can pick up a bow, knock and arrow and shoot it, doesn't mean you are going to hit your target. If you are saying you want apps for magic just because you are upset or because you want to feel special, I don't know what to tell you. We all come to this server for roleplay, promoting elitism isn't fun.
If you wish to enjoy fun magic in a fun environment, where you actually learn it and it is taught. Sadly the Guild is currently full, but on a daily basis I roleplay with at least four people who are actually practicing their magic and trying to learn how to roleplay it properly. The ones who don't care to learn are either new players (and remember, we're all new to LOTC and just roleplay in general at one point) or the veterans who think they can just pick up magic without a second thought. Magic is more difficult than it seems, but locking it is not the answer.
Though maybe it'll help a bit to make posts, fill out an app, and get a teacher, I'd request the same for other parts of LotC. You lock one part of roleplay, you might as well lock them all.
EDIT: Instead of just creating a thread requesting it be locked, or complaining about it, why no try to make an in game Guild? There you can moderate and teach others to the quality of magical Rp goes up.