Each of the PIC’s outputs can only drive one LED (I.e. One PIC can directly drive one tri-colour device). However, it is possible the use a simple transistor buffer to increase the number and brightness of the LEDs used.
There are slightly different circuits for common anode or common cathode tri-colour LEDs. The common cathode uses an NPN transistor I’ve used a 2N3904 although many low power low frequency NPN transistors would work. Similarly, the Common anode circuit uses a 2N3906 , many low power low frequency PNP transistors would work equally well. Each of these circuits will comfortably drive four tri-colour devices.