Is it correct to say "gather and collect"?

Although often synonymous, gather may merely mean bringing together whereas collect has overtones of organising what has been gathered.

GATHER, COLLECT, ASSEMBLE, CONGREGATE mean to come or bring together into a group, mass, or unit. GATHER is the most general term for bringing or coming together from a spread-out or scattered state. a crowd quickly gathered COLLECT often implies careful selection or orderly arrangement. collected books on gardening ASSEMBLE implies an ordered union or organization of persons or things often for a definite purpose. experts assembled for a conference CONGREGATE implies a spontaneous flocking together into a crowd or huddle. congregating under a shelter

Merriam Webster

Hence, one may gather and then collect as a implied progression from bringing together the data to organising them.