Yes, you *can* bring an indoor oven broiler and put it on top of the outside grill grate, as the metal of the indoor one will absorb the heat of the outside one...

However, it will take a little bit more time for the indoor grill to have the same temperature as the outside one...  **¯\\_(ツ)_/¯**

**Alternatively,** use a copper wire brush to clean the grill after you've used it as [in this answer here](https://cooking.stackexchange.com/a/59172/34942) *before and after* each use while the grill is still hot.