For true spirituality, and not just the sense of it as you quoted above, you will definitely have to get away from technology. There's no way around it.
Spirituality is not a sense, or a philosophy or a sense of connection with the Cosmos/Divine/Nature. It is actually connecting with it. To connect with it we must remove all obstructions. Not just "opening the heart"...what kinda of new age hippie shit is that?
The only thing technology has given us is the illusion if power/knowledge/accomplishment via the convenience of speed. It's all fictional.
One can say we have evolved our consciousness with the wave of technology, but is this true when we have truly lost touch/connection with life itself, to the point where we can't even remember a damn number?
So the answer to your question is...