Pursuant to sub-paragraph (b) of article 3 of Annex II to the Protocol on Environmental Protection to the Antarctic Treaty[1], a permit to "kill, injure, capture, handle or molest" penguins may be issued "to provide specimens for…other…cultural institutions or uses," which could arguably include bowling.
IANAL, YMMV, etc., etc.
[1] https://documents.ats.aq/cep/handbook/Annex_II_e.pdf#page=2