Is it possible to Update Cells in Both Sheets when they are Linked?

What we are trying to do is use one sheet as a general project breakdown (Sheet 1). Within that project breakdown is a construction schedule. We want to make a second sheet that contains all the information in the Construction schedule section of sheet 1 and turn that into its own sheet (sheet 2). I know this is possible by either Copying the rows into a new sheet or linking the cells from sheet 1 into sheet 2 but this is where the question stems from.

Is it possible to have the cells set up so that if we updated information in sheet 1 it would be reflected in sheet 2 AND if the cells were updated in sheet 2 the information would be reflected in sheet 1? In other words the information entered into the cell in either sheet being shown in BOTH sheets? Is this possible?