Yes, the flood was global jprocks. One accusation thrown at biblical creationists is that kangaroos could not have hopped to Australia, because there are no fossils of kangaroos on the way. But the expectation of such fossils is a presuppositional error. Such an expectation is predicated on the assumption that fossils form gradually and inevitably from animal populations. In fact, fossilization is by no means inevitable. It usually requires sudden, rapid burial. Otherwise the bones would decompose before permineralization. One ought likewise to ask why it is that, despite the fact that millions of bison used to roam the prairies of North America, hardly any bison fossils are found there. Similarly, lion fossils are not found in Israel even though we know that lions once lived there.
Comparisons can be made with more modern recolonizations. For example, the Encyclopædia Britannica has the following to say about Surtsey Island and Krakatoa and the multiplication of species.
Six months after the eruption of a volcano on the island of Surtsey off the coast of Iceland in 1963, the island had been colonized by a few bacteria, molds, insects, and birds. Within about a year of the eruption of a volcano on the island of Krakatoa in the tropical Pacific in 1883, a few grass species, insects, and vertebrates had taken hold. On both Surtsey and Krakatoa, only a few decades had elapsed before hundreds of species reached the islands. Not all species are able to take hold and become permanently established, but eventually the island communities stabilize into a dynamic equilibrium.
There is little secret, therefore, how nonflying animals may have travelled to the outer parts of the world after the Flood. Many of them could have floated on vast floating logs, left-overs from the massive pre-Flood forests that were ripped up during the Flood and likely remained afloat for many decades on the world’s oceans, transported by world currents. Others could later have been taken by people. Savolainen et al., have suggested, for example, that all Australian dingoes are descended from a single female domesticated dog from Southeast Asia. A third explanation of possible later migration is that animals could have crossed land bridges. This is, after all, how it is supposed by evolutionists that many animals and people migrated from Asia to the Americas—over a land bridge at the Bering Straits. For such land bridges to have existed, we may need to assume that sea levels were lower in the post-Flood period—an assumption based on a biblical model of the Ice Age.
I hope this helps you to make sense of why animals (and their desendants) are found all over the world.