I am not sure what that red little bar means but your chart looks like a Gantt Chart with the candle stick.
Data
Assuming the red bar is your low, then you might have data that looks like the following:
let data = [{
name: "A",
open: 0,
close: 3
}, {
name: "B",
low: 2,
open: 3,
close: 9
}, {
name: "C",
low: 4,
open: 9,
close: 13
}, {
name: "D",
low: 6,
open: 15,
close: 20
}, {
name: "E",
low: 8,
open: 13,
close: 15
}];
Candle stick Series
Then you can create a Gantt chart with a candle stick series. For a candle stick series to display properly, you have to define lowValue, openValue, value and highValue in the data fields of the series:
...,
series: [{
type: "CandlestickSeries",
dataFields: {
categoryY: "name",
lowValueX: "low",
openValueX: "open",
valueX: "close",
highValueX: "close"
}
}],
...
Since the graph you want doesn't have to "tail", you can trick amchart4 and use close value as highValue.

fiddle: https://jsfiddle.net/davidliang2008/kLzh49fv/
If you don't assign the highValue field, the range would always start from 0:
...,
series: [{
type: "CandlestickSeries",
dataFields: {
categoryY: "name",
lowValueX: "low",
openValueX: "open",
valueX: "close",
//highValueX: "close"
}
}],
...

Want something fancier?
To emphasis the low value as the red bar, you can add another StepLineSeries that uses the low values into the chart:
...,
series: [{
type: "CandlestickSeries",
...
}, {
type: "StepLineSeries",
noRisers: true,
dataFields: {
categoryY: "name",
valueX: "low"
},
stroke: "#e62e00",
strokeWidth: 4,
startLocation: .3,
endLocation: .7
}],
...

fiddle: https://jsfiddle.net/davidliang2008/cse496zg/