No, you have to include it.
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WildblueThank you for your reply, GPY."High-tech" is an adjective and we have "and" and then "technologies". If we omit "and" and "new" we'll have "high-tech technologies". Is this OK?"high-tech technologies" is awkward. I think the rephrasing would be context-dependent.
WildblueDear GPY, thank you for your help. The phrase "high-tech and new technologies" is the title of a conference and I saw this on their poster.In that case, I think it was probably intended as I interpreted, with "high-tech" as one noun phrase, and "new technologies" as another.