Is there a way for jq to instantiate a key to output?

Given:

```
{
  "foo": "bizz",
  "bar": "buzz",
  "bat": [
    "somestring"
  ]
}

```

I would like to do something like `jq '. | {foobar.foo, foobar.bar}'`
and have it output:

```
{
  "foobar": {
    "foo": "bizz",
    "bar": "buzz"
  }
}

```

without having to make the initial `foobar` dictionary.