[Solved]-Is there any method to select only one series marker state in highcharts?-Highcharts

you can code of the behavior yourself instead of using allowpointselect:

      series: {
            cursor: 'pointer',
            point: {
                events: {
                    click: function(event) {
                        this.select();
                    }
                }
            }
        }

fiddle here.