Yes—on the Canon 60D, exposures longer than 30 seconds are done in Bulb mode.

The simplest solution is a remote release. A wired remote with a lock, or a wireless remote, lets you start the exposure without touching the camera and end it later, which helps avoid shake. Some remotes can lock the shutter open; with certain wireless remotes, one press starts Bulb exposure and a second press stops it.

Another option is Magic Lantern, a third-party firmware add-on for the 60D that includes a bulb timer, allowing very long exposures without holding the shutter manually.

You could also shoot multiple 30-second frames and combine them later in software, but that may create small gaps in light trails and requires restarting each exposure.

So, for a single 2-minute exposure, Bulb mode plus a remote release is the most practical approach.