Is it okay to incorporate a block of citations from a review paper into my own paper?
You must cite your source every time you use someone else's intellectual contributions.

A review article contributes curation of sources (among other things) as its intellectual content. If you use that intellectual content, you must cite the review paper (in addition to the individual sources). Otherwise you are misleading the reader into believing that you've done all that work (reading very broadly in the literature, identifying the most relevant and useful sources) yourself.