Is there a way to instantiate key with JQ?

Question

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.

Answer 1

Another possibility to consider:

{foobar: del(.bat)}