Can i have a function inside a state in react?

Yes you can.

class App extends Component {
    func1 = () => {
        this.setState({flag:!this.state.flag})
    }
   state = {
       flag:true,       
       doclick:this.func1
    }
} 

You can't the way you have attempted but technically yes, you can have a function that returns the desired state you want initialised in your constructor. I wouldn't suggest doing it though.

You will quickly run into issues where your components aren't updating state correctly.

What you are looking for is a function that returns a value as opposed to sets state. You would do something like this:

constructor(){
  super()

  this.state = {
    modalVisible: false,
    photo:""
    sourceState: this.getDataSourceState()
  }

  this.getDataSourceState = this.getDataSourceState.bind(this)
}

getDataSourceState(){
  return this.ds.cloneWithRows(this.images)
}

As I mentioned, it is not a good idea to do it this way. You are better off initialising the state values as a default value and then setting the state in your componentDidMount like so:

constructor(){
    super()

    this.state = {
        modalVisible: false,
        photo:""
        sourceState: null
    }

    this.getDataSourceState = this.getDataSourceState.bind(this)
}


componentDidMount(){
    this.getDataSourceState()
}

getDataSourceState(){

    const data = this.ds.cloneWithRows(this.images)

    this.setState({soureState: data})
    
}

This way you have a reusable function which you can call in componentDidUpdate() if need be for when you move navigate between the same component with different data and want the state to update.