At first glance, this statement seems to be true. But after about a microsecond of further consideration, one realizes that the statement would actually set Boyle spinning in his grave, and is false.
Boyle's law states that there is a firm relationship among the pressure, temperature, and volume of an ideal gas, and that you can't say anything about how any two of these quantities depend on each other, unless you also say what's happening to the third one at the same time.
As the pressure of an ideal gas increases, the volume will decrease in direct proportion to the volume, IF THE TEMPERATURE OF THE GAS REMAINS CONSTANT.
If you wanted to, you could increase the pressure AND the volume of an ideal gas both at the same time. You would just need to warm it enough while you squeeze it.