Industry standard HD44780 compatible LCD controllers have a TTL level specification. They can work 3.3V with CMOS output signals. On the other hand, PIC24F I/Os are 5V tolerant (except for some analog pins), so it has no problem to read e.g. the busy bit from LCD controller. In other words, just connecting the LCD and PIC24F should be fine.
As the second option, most LCD controllers also work with 3.3V supply, check your datasheet. But you usually need a negative voltage at the contrast pin.