Sorry, I misunderstood what you were after.
Unfortunately, the Fleet draws marks at the tick position, so shifting the mark from the checkmark will be problematic.
The best solution is to disable ticks, and then use the grid parameter markingsto demarcate the column groups:
xaxis: {
ticks: [[0.5,"1st Nov to 3rd Nov"],[2.0,"11th Nov to 15th Nov"]],
tickLength: 0, // disable tick
min: -0.2,
max: 2.7
},
yaxis: {
tickLength: 0 // disable tick
},
grid: {
markings: [ { xaxis: { from: 1.25, to: 1.25 }, color: "black" } ] // create demarcation line
}
Fiddle is here .

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