Yes. You can even go as high as four (for the GTX 1060). Depending on what specific GTX 1060 model you got, some have 3x DisplayPorts, 1x HDMI, and 1x DVI-D, while some have 2x DisplayPorts, 2x HDMI, and 1x DVI-D video output ports.
Just connect the appropriate output ports from the GTX 1060 to your monitor's input ports (preferably, using the same ports; though you can use adapters if your monitor's inputs does not match your GPU's).
I am running 4 monitors off of a single GTX 970 (with an i7-4790), using 1x DP, 1x HDMI, 1x DVI-I, and 1x DVI-D connection.
Depending on your motherboard, if it has the capability to run multi-iGPU/GPU (using both integrated graphics from the CPU and the dedicated GPU), you may be able to plug in...