No. There is no evidence that Australia's Parliament House in Canberra contains an exceptional number of clocks. The building's design (opened 1988, Mitchell/Giurgola & Thorp) features a blend of contemporary and classical elements, extensive Australian art, timber, marble, and landscaping—but clocks are not a highlighted or abundant feature.
Standard functional clocks exist in chambers, offices, and corridors as in any large workplace. The idea of "many clocks" appears to be a myth or confusion with another building (e.g., the Old Parliament House's King's Hall clock, or the floral clock in Commonwealth Park).