how close to the house can this be planted?
There are several major factors to consider when looking to plant a Cabbage Palm:
1. The trunks on Cabbage Palms can get to be 18- to 24-inches wide
2. They can grow to between 40 and 60 feet tall and
3. They need well-drained soil.
Cabbage Palm roots aren't known for being invasive or spreading so much that they cause issues, so you should be able to plant it about 15-20 feet away from the house without causing any problems.
Here is some additional information about growing Cabbage Palms: