No you shouldn't -- You don't know if it's acrylic (lucite) or polycarbonate based. One is much more reactive to alcohol than the other IIRC. You will end up creating a dull cloudy haze over it.
Luckily, if caught early, you can remove it with some Novus but that takes a lot of hand polishing and can warp the light passing through (especially noticeable if used over a monitor)
Just use warm water and most home cleaners that are not alcohol, citrus or oil based. Stuff like 409, Simple Green, Windex all work well.
There are a handful of citrus cleaners that can work to remove sticky stuff but must be tested in a corner first to be sure it wont damage the plastic.