Looking at the style of the chart you might need to upgrade and then you could add the property yaxisLabelsOffsetx to your configuration. Here's an example:
new RGraph.HBar({
id:'cvs',
data: [8,4,6,3],
options: {
marginInner: 10,
variant: '3d',
xaxis: false,
yaxis: false,
labelsAbove: true,
labelsAboveOffsetx: 10,
yaxisLabels: ['Jimmy','James','Tabatha','Richard']
}
}).draw();
And a codepen of the example is here: