No. You should purchase a case specific for the Galaxy S6 edge.
The Galaxy Note Edge is a great device. The device has many great reviews.
Rumors on the Galaxy S6 include a more metallic build, possible "edge" display on both sides (similar to the Samsung Galaxy Edge), 64-bit CPU, continued improvements to its TouchWiz UI interface, camera, display and the like, wireless and quick charging, and improvements to the LTE radio.
An elliptical galaxy, seen "face-on". (E7 would be "edge-on".)
The earth exists on the edge of the Milky Way galaxy.
The cast of The House at the Edge of the Galaxy - 2013 includes: Richard Manichello Grayson Sides as Boy
Shadowmire Edge.
A galaxy doesn't have a clearly-defined edge, just as Earth's atmosphere doesn't have a clearly-defined edge. That is to say, Earth's atmosphere gradually gets thinner when you go further away from Earth; in a similar way, the star density will gradually get less when you go away from a galaxy.
Since our galaxy is about 100,000 light-years side to side and we are about 30,000 light-years from the centre of our galaxy then by dividing 100,000 by 2 making it 50,000 and then minus 30,000 then it estimates we should be 20,000 light-years from the nearest edge of our galaxy.
When seen edge-on, a spiral galaxy appears as a thin, flat disk with a bulging central region. The disk is often darkened by dust lanes along its plane, giving it a more defined edge. The spiral arms are not visible from this perspective.
The shape of the Milky Way (our galaxy) is the shape of a spiral.
An elliptical galaxy, seen "face-on". (E7 would be "edge-on".)