Not according to a hunter and widlife biologist I know (Dr. Charles Kay) with long experience in Africa with aboriginal guides familiar with elephant hunting. He describes an aboriginal proboscidean hunting process in his book, Wilderness and Political Ecology, pp246-7. First, mammoths would be naive about newly arriving people; they would not be recognized by mammoths as a threat. Gut stick the beast with a short spear. Use dogs to distract its reaction. Then follow it for about three days until it dies of peritonitis.
Sure, that sounds like a relatively easy way to kill an elephant, but 3 days of waste leaking into the body cavity causing infection is basically fouling the meat before you can butcher it, isn’t it?