It is well-documented that some Aleutian Island natives did in fact get to Kamchatka, on the Asian mainland. Several early Russian Fur Traders reported that when they first arrived in the Aleutian Islands, they found small numbers of villagers who spoke some form of Russian and other languages found in Kamchatka, and they even found some very small communities of Russian Orthodox believers among the Aleuts (though there were no priests). In addition to the Kayak, the Aleuts also had larger and more capable vessels, called "Bidarka". As to the Inuits, they were in fact known to the Chukchi and Eskimo tribes of the mainland of Siberia -- when the Russian explorers of the 17th Century arrived in Kamchatka/Siberia, they were told about the "numerous and rich" tribes on the other side of the water. One problem the Inuit could have faced in going to Asia was that if they wanted to travel a more southerly exploration route (better weather, calmer seas, etc.), they would have had to travel through areas (the Aleutian Islands, the Pribiloffs, etc.) which were generally occupied by the Aleuts, who were not allies of the Inuit. References (which may not directly answer your question, but which give a good overview of Alaska/Siberia relationships and contacts in the early years): Dorothy Jean Ray, "The Eskimos of Bering Strait, 1650-1898", U of Washington Press, 1975. O.W. Frost (ed), "Bering and Chirikov- The American Voyages and their impact", Alaska Historical Society, 1992. Archie W. Shiels, "Little Journeys into the History of Russian America and The Purchase of Alaska", The Shorey Book Store, Seattle, 1964. Lydia T. Black, "Russians in Alaska 1732-1867", U of Alaska Press, 2004.