Protocol is an opaque object type. It's defined in the generated header as:
// All methods of class Protocol are unavailable. 
// Use the functions in objc/runtime.h instead.
OBJC_AVAILABLE(10.0, 2.0, 9.0, 1.0, 2.0)
@interface Protocol : NSObject
@end
It doesn't conform to MyProtocol, so is MyProtocol cannot work. And, although Swift can implicitly bridge @objc protocol metatypes to Protocol, it appears that it cannot do the reverse; which is why is MyProtocol.Protocol doesn't work (but even if it did, it wouldn't work for derived protocols; as P.Protocol types can currently only hold the value P.self).
If you want to check that meta is a protocol type that is equivalent to, or derives from, MyProtocol, you can use the Obj-C runtime function protocol_conformsToProtocol:
@objc(YHMyProtocol) protocol MyProtocol { }
@objc protocol DerviedMyProtocol : MyProtocol {}
@objc class Matcher : NSObject {
    @objc public class func existMatch(_ meta: Protocol) -> Bool {
        return protocol_conformsToProtocol(meta, MyProtocol.self)
    }
}
// the following Swift protocol types get implicitly bridged to Protocol instances
// when calling from Obj-C, @protocol gives you an equivalent Protocol instance.
print(Matcher.existMatch(MyProtocol.self)) // true
print(Matcher.existMatch(DerviedMyProtocol.self)) // true
If you just want to check that meta is equivalent to MyProtocol, you can use protocol_isEqual:
@objc class Matcher : NSObject {
    @objc public class func existMatch(_ meta: Protocol) -> Bool {
        return protocol_isEqual(meta, MyProtocol.self)
    }
}
print(Matcher.existMatch(MyProtocol.self)) // true
print(Matcher.existMatch(DerviedMyProtocol.self)) // false