No you'll have to add an idea for that.
In UK we would use values taken from the blue book anyway for rolled sections, so in that instance these could be added to type catalogue from the blue book. Obviously it is geometric property so we could have a formula that works it out directly but designers tend to recognise the values that come from the tables. If you see some overly precise value worked out by formula that doesn't match the table value you tend to wonder if it is exactly correct. Also is is appropriate to use a value with a greater precision than is commonly used in design manually for these kind of things? Some would argue that the precision used to describe properties of things in design tables is the precision you should use for those things in design calculations (I would agree with that).
For plate girders and other sections not noted in the blue book we would work out the second moment of area via combination of second moment of areas for individual parts of a section via parallel axis theorem (combinations of 'I' values for rectangular parts and corner fillets etc.).
This process leads to some simplified formulas for certain section types which I'm sure would be commonly available somewhere online.
