Just to give some definitions here:

Science: systematic knowledge of the physical or material world gained through observation and experimentation. (Dictionary)

Spirituality:

Spirituality is belief in an ultimate or an alleged immaterial reality (wikipedia)

Incorporeal or immaterial nature. (Dictionary)

Sure you can have both, but it would seem that blending these two together makes very little sense? At least when you're sober... don't get me started on those spirit-matter hyperspace alchemists...

The big punchline is, there is nothing we can capture or analyse beyond the realm of the physical (well DUH), but quantum physics seems to suggest there is nothing in the physical but empty space! I guess in that sense you can have both spiritual and physical blended together...

Truth is we are never going to know everything, there will always be some way to weave spirit and mysticism into (not so very) hard reality.