Render Content Dynamically from an array map function in React Native

Try moving the lapsList function out of your class and into your render function:

render() {
  const lapsList = this.state.laps.map((data) => {
    return (
      <View><Text>{data.time}</Text></View>
    )
  })

  return (
    <View style={styles.container}>
      <View style={styles.footer}>
        <View><Text>coucou test</Text></View>
        {lapsList}
      </View>
    </View>
  )
}

Don't forget to return the mapped array , like:

lapsList() {

    return this.state.laps.map((data) => {
      return (
        <View><Text>{data.time}</Text></View>
      )
    })

}

Reference for the map() method: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/map