Sure is - use the Chart platform, and assign your columns to the X and Y axes. The chart will default to bars, but you can right click on the individual Y fields in the legend and choose from bar, line, needle, and point in any combination you choose.
You can show multiple Y's on the chart, but I don't think you can show different types of graphs for different Y's. If you have JMP 8, you can use the graph builder. Using membrane, drag Brand to the X, then pull Count 1 to the bottom of the y axis and Count 2 to the top of the y axis. Right mouse click over each of these graphs and on 1 of them select points>change to > bar and on the other 1 select points>change to> line.
You can do this in chart. The trick is that you need to select mean for both data in membrane and select bar. Then right click on one of the blocks on the legend and change it to line. This works in JMP 8.0.1, I don't know about earlier versions.