No. That's a horrible idea. It's just like connecting your heart using something unusual. A processor of a socket type can be connected to only a motherboard that supports the socket. The LGA 1155 motherboards are not that costly. If there was an adapter it would cost you the same as a motherboard.
The Gigabyte GA-B75M-D3H Motherboard is a damn worth option for its price.
Glas