Certainly looks that way. Martin lists 딱딱 as an onomatopoeia for "with repeated bangs (crashes, cracks, thuds, smashes)". It spawns a whole family of related sound-symbolic words including 딱다그르르 and 딱다글딱다글, either of which could be the basis for 딱따구리.
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And I didn't know the Catalan one! Look what I found:
http://www.xtec.net/~aalas/ocells/
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