Looking over the log you provided, it looks like one of your targets are missing. Looks like you have targets for all except Hangman1 which it’s asking for.
You should be able to check for these within the Project\Source directory.
MainFrameActions: Packaging (Android (ETC1)): UnrealBuildTool: UnrealBuildTool Exception: ERROR: Couldn't find target rules file for target 'Hangman1' in rules assembly 'Hangman1ModuleRules, Version=0.0.0.0, Culture=neutral, PublicKeyToken=null'.
MainFrameActions: Packaging (Android (ETC1)): UnrealBuildTool: Location: C:\Users\\Documents\Unreal Projects\Hangman1\Intermediate\Build\BuildRules\Hangman1ModuleRules.dll
MainFrameActions: Packaging (Android (ETC1)): UnrealBuildTool: Target rules found:
MainFrameActions: Packaging (Android (ETC1)): UnrealBuildTool: UE4Editor - E:\Program Files\Epic Games\4.9\Engine\Source\UE4Editor.Target.cs
MainFrameActions: Packaging (Android (ETC1)): UnrealBuildTool: UE4Game - E:\Program Files\Epic Games\4.9\Engine\Source\UE4Game.Target.cs
MainFrameActions: Packaging (Android (ETC1)): UnrealBuildTool: HangMan - C:\Users\\Documents\Unreal Projects\Hangman1\Source\HangMan.Target.cs
MainFrameActions: Packaging (Android (ETC1)): UnrealBuildTool: HangManEditor - C:\Users\\Documents\Unreal Projects\Hangman1\Source\HangManEditor.Target.cs
MainFrameActions: Packaging (Android (ETC1)): UnrealBuildTool:
MainFrameActions: Packaging (Android (ETC1)): CommandUtils.Run: Run: Took 0.5683738s to run UnrealBuildTool.exe, ExitCode=5
MainFrameActions: Packaging (Android (ETC1)): BuildCommand.Execute: ERROR: BUILD FAILED