Yes, it's possible. I do all the time. Ideally you should create some linestyles that you will use allways inside your detail component families.
The best would be to create new family templates with those linestyles, but be careful when doing this because revit originally doesn't do this. Read this post on the subject with a workaround. Maybe you should create a basic detail component family (.rfa) not being a template and using it as a start point for new families, until you're shure the family and linestyles are ok.
Suggested, and not tested, workflow:
-create a new detail component family;
-create only the linestyles you think will fit your needs, with lineweights, colors and line patterns,
-save this family as a base for new families (note that this is NOT creating the family template);
-when creating a new detail component, open this base family and save it with a different name;
-create content as needed and save the family to your details folder;
-if you're using a library project as i suggested before. load the new family in it and annotate conform earlier suggestions;
-adjust your detail's linestyles inside the project if needed;
This way you can have better control of the appearance of your details per project, using the linestyle dialogs or the overrides by view. i assume this is what you want.
Hope my english is clear enough.
Gustavo