Science takes on a lot of different roles in The Invisible Man. First, it's what scientists do to work out problems they have. For instance, we hear from the Invisible Man about how he developed his invisibility formula through trial and error. Second, science means a community of scientists and their particular traditions; like when you discover something awesome (say, an invisibility formula), you're supposed to tell people about it (and not try it out on yourself). Finally, science can be a mystery to anyone who's not a scientist; this is clearly trouble for the already isolated Invisible Man.
The Invisible Man is all about science gone wrong.
Science in The Invisible Man is neither good nor bad. It's just another form of human activity and community.