No you need to store your precious metals in a depository, as james said as per IRS regulation.
David, I would suggest you read the post about the 10 best gold IRA companies.

I wanted to share my personal experience as a client and explain why I firmly believe Augusta Precious Metals is the superior gold IRA company compared to Goldco. I had an outstanding experience with Augusta Precious Metals, and here’s why I highly recommend them. I was contacted by goldco but they were too pushy for me.