Swift 3.1
NSInvocation can be used dynamically, but only as a fun exercise, definitely not for serious applications. There are better alternatives.
import Foundation
class Test: NSObject {
    @objc var name: String? {
        didSet {
            NSLog("didSetCalled")
        }
    }
    func invocationTest() {
        // This is the selector we want our Invocation to send
        let namePropertySetterSelector = #selector(setter:name)
        
        // Look up a bunch of methods/impls on NSInvocation
        let nsInvocationClass: AnyClass = NSClassFromString("NSInvocation")!
        
        // Look up the "invocationWithMethodSignature:" method
        let nsInvocationInitializer = unsafeBitCast(
            method_getImplementation(
                class_getClassMethod(nsInvocationClass, NSSelectorFromString("invocationWithMethodSignature:"))!
            ),
            to: (@convention(c) (AnyClass?, Selector, Any?) -> Any).self
        )
        
        // Look up the "setSelector:" method
        let nsInvocationSetSelector = unsafeBitCast(
            class_getMethodImplementation(nsInvocationClass, NSSelectorFromString("setSelector:")),
            to:(@convention(c) (Any, Selector, Selector) -> Void).self
        )
        
        // Look up the "setArgument:atIndex:" method
        let nsInvocationSetArgAtIndex = unsafeBitCast(
            class_getMethodImplementation(nsInvocationClass, NSSelectorFromString("setArgument:atIndex:")),
            to:(@convention(c)(Any, Selector, OpaquePointer, NSInteger) -> Void).self
        )
        
        // Get the method signiture for our the setter method for our "name" property.
        let methodSignatureForSelector = NSSelectorFromString("methodSignatureForSelector:")
        let getMethodSigniatureForSelector = unsafeBitCast(
            method(for: methodSignatureForSelector)!,
            to: (@convention(c) (Any?, Selector, Selector) -> Any).self
        )
        
        // ObjC:
        // 1. NSMethodSignature *mySignature = [self methodSignatureForSelector: @selector(setName:)];
        // 2. NSInvocation *myInvocation = [NSInvocation invocationWithMethodSignature: mySignature];
        // 3. [myInvocation setSelector: @selector(setName:)];
        // 4. [myInvocation setArgument: @"new name", atIndex: 2];
        // 5. [myInvocation invokeWithTarget: self];
        
        // 1.
        let namyPropertyMethodSigniature = getMethodSigniatureForSelector(self, methodSignatureForSelector, namePropertySetterSelector)
        // 2.
        let invocation = nsInvocationInitializer(
            nsInvocationClass,
            NSSelectorFromString("invocationWithMethodSignature:"),
            namyPropertyMethodSigniature
        ) as! NSObject // Really it's an NSInvocation, but that can't be expressed in Swift.
        
        // 3.
        nsInvocationSetSelector(
            invocation,
            NSSelectorFromString("setSelector:"),
            namePropertySetterSelector
        )
        
        var localName = "New name" as NSString
        
        // 4.
        withUnsafePointer(to: &localName) { stringPointer in
            nsInvocationSetArgAtIndex(
                invocation,
                NSSelectorFromString("setArgument:atIndex:"),
                OpaquePointer(stringPointer),
                2
            )
        }
        
        // 5.
        invocation.perform(NSSelectorFromString("invokeWithTarget:"), with: self)
    }
}
let object = Test()
object.invocationTest()