Create a dummy reach and attach a boundary condition that has the tide levels six hours sooner.
HEC-RAS comes with example data sets. (If you didn’t install them, they should be available under Help.) Find the project \1D Unsteady Flow Hydraulics\Rule Operations\RuleAndTimeSeries.prj. This example has Rules and it uses a dummy reach as part of the rules.
Make a copy of your stage hydrograph and move it six hours sooner.
So if your data is:
1000 4.0
1100 4.5
1200 5.1
1300 5.6
1400 6.1
1500 6.2
Make a copy that looks like:
0400 4.0
0500 4.5
0600 5.1
0700 5.6
0800 6.1
0900 6.2
Use this stage boundary on your dummy reach. Your rules can then look at this stage to know what the tide will be in six hours.