The game doesn’t really explain how the touch controls work. You need to learn on your own or check out this:
1. To move, tap the screen and drag your finger left or right.
2. To jump up, drag your finger upwards.
3. To push an object, just walk into it and keep walking.
4. To grab an object and drag it to the other side (like a bear trap), get close to it, you’ll crouch down to grab it, then hold your finger down and drag in the direction you want to go.