Long story short: SPDY is dead, long live HTTP/2!
Asking whether "HTTP/2 is possible without SPDY" implies that HTTP/2 somehow depends on SPDY. That isn't the case. Instead, HTTP/2 and SPDY are so similar that many implementations are hacking their existing SPDY support to be HTTP/2. There's also a lot of people who think HTTP/2 is SPDY, or get sloppy with their terminology. They're different protocols.
SPDY is a non-standard (but open) extension to HTTP/1.1 by Google designed to speed up web site loading and interaction and eliminate a lot of the hacks people do to reduce the number of connections. HTTP/2 started with SPDY and ran from there to create a new, standard protocol incompatible with both HTTP/1.1 and SPDY.
Many people treat SPDY and HTTP/2 as the same things, they're not. There have been significant changes in the standardization process between HTTP/2 and SPDY so that SPDY and HTTP/2 are not compatible. But they're really close, so many HTTP/2 implementations are just hacked SPDY implementations.
Many web servers and clients implemented SPDY even though it wasn't a standard. The performance gains were just too good to pass up.
Now that HTTP/2 is official, SPDY has been officially deprecated in favor of HTTP/2 and will be withdrawn as a standard in 2016. Web clients and servers are working to switch over. While the clients have adopted HTTP/2 very fast, server support seems to be lagging.
As of this writing, HTTP/2 has only been a standard for six weeks. Give it some more time. References to SPDY will be hanging around in HTTP/2 implementations, but that will be rapidly cleaned up. Firefox 36.0.4's Network console properly reports the protocol version as HTTP/2.
As for finding out whether HTTP/2 is used, look at the HTTP response object, it should have the protocol used.