ZingChart: Can we use disjointed (non-linear) time-series data in a chart?

You can absolutely do this using [x, y] coordinates in your values array.

series: [
    {
        values: [
	    [1420070400000,35],
	    [1420156800000,42],
	    [1420243200000,67],
	    [1420329600000,89],
	    [1420416000000,25],
	    [1420502400000,50],
	    [1420588800000,75]
	],
        text:'Department 1'
    },
]

Example: https://demos.zingchart.com/view/ON21QDRY 

Documentation

• blog post on time series
• scales tutorial
• scale-x JSON pages
• transform JSON pages