Drawing Multiple Lines in D3.js

Yes. First I would restructure your data for easier iteration, like this:

var series = [
  [{time: 1, value: 2}, {time: 2, value: 4}, {time: 3, value: 8}],
  [{time: 1, value: 5}, {time: 2, value: 9}, {time: 3, value: 12}],
  [{time: 1, value: 3}, {time: 2, value: 2}, {time: 3, value: 2}],
  [{time: 1, value: 2}, {time: 2, value: 4}, {time: 3, value: 15}]
];

Now you need just a single generic line:

var line = d3.svg.line()
    .interpolate("basis")
    .x(function(d) { return x(d.time); })
    .y(function(d) { return y(d.value); });

And, you can then add all of the path elements in one go:

group.selectAll(".line")
    .data(series)
  .enter().append("path")
    .attr("class", "line")
    .attr("d", line);

If you want to make the data structure format smaller, you could also extract the times into a separate array, and then use a 2D array for the values. That would look like this:

var times = [1, 2, 3];

var values = [
  [2, 4, 8],
  [5, 9, 12],
  [3, 2, 2],
  [2, 4, 15]
];

Since the matrix doesn’t include the time value, you need to look it up from the x-accessor of the line generator. On the other hand, the y-accessor is simplified since you can pass the matrix value directly to the y-scale:

var line = d3.svg.line()
    .interpolate("basis")
    .x(function(d, i) { return x(times[i]); })
    .y(y);

Creating the elements stays the same:

group.selectAll(".line")
    .data(values)
  .enter().append("path")
    .attr("class", "line")
    .attr("d", line);