Is it possible to dynamically create functions with specific arguments without using eval or the Function constructor?

Very similar to this Python question but for JavaScript.

I'm using a library that relies on nodejs-depd which uses new Function() to dynamically wrap functions in deprecation messages:

function wrapfunction(fn, message) {
  if (typeof fn !== "function") {
    throw new TypeError("argument fn must be a function");
  }

  var args = createArgumentsString(fn.length);
  var stack = getStack();
  var site = callSiteLocation(stack[1]);

  site.name = fn.name;

  var deprecatedFn = new Function(
    "fn",
    "log",
    "deprecate",
    "message",
    "site",
    '"use strict"\n' +
      "return function (" +
      args +
      ") {" +
      "log.call(deprecate, message, site)\n" +
      "return fn.apply(this, arguments)\n" +
      "}"
  )(fn, log, this, message, site);

  return deprecatedFn;
}

This produces various legitimate concerns about security. But it also produces functions that match the original - if args are arg0, arg1, the new function will be

function (arg0, arg1) {
  log.call(deprecate, message, site)
  return fn.apply(this, arguments)
}

BTW, 'no, this isn't possible' is a fine answer. I just want to find out if this is possible.

Dynamically create a function with a specific parameter declaration

It is not possible to dynamically create a function with a specific parameter declaration without eval/new Function, but it also not advisable to depend on that - the code (fn.toString()) is considered an implementation detail.

Dynamically create a function with a specific arity

Yes, it is possible to dynamically create a function with a specific arity, if all you care about in the "signature" is the arity of the function.

The arity (.length) of a function is a non-writable property, but it's still configurable:

function wrapfunction(fn, message) {
  if (typeof fn !== "function") {
    throw new TypeError("argument fn must be a function");
  }

  var stack = getStack();
  var site = callSiteLocation(stack[1]);

  site.name = fn.name;
  var deprecate = this;

  var deprecatedFnOld = function() {
     log.call(deprecate, message, site);
     return fn.apply(this, arguments);
  };
  Object.defineProperty(deprecatedFnOld, 'length', {value: fn.length});
  Object.defineProperty(deprecatedFnOld, 'name', {value: 'deprecated '+fn.name});

  return deprecatedFnOld;
}