Not sure about acrylic, but 3M do a film for that purpose.
3M™ Day/Night Film 3635-91 – This film has been specially formulated to produce the appearance of dark graphics during the day and white or colored graphics at night on internally illuminated signs. It has a clear, pressure-sensitive adhesive.
3M™ Dual-Color Film 3635-210 White – Use this specially perforated sign film for creating the special effect of a color and/or image by day (non-backlighted) that changes to a different color or image by night when backlighted. It is available in black, white or custom colors, and can be used with 3M translucent films or screen printed.
3M™ Dual-Color Film 3635-222 Black – Use this specially perforated sign film for creating the special effect of a color and/or image by day (non-backlighted) that changes to a different color or image by night when backlighted. It is available in black, white or custom colors, and can be used with 3M translucent films or screen printed.