Yes you can under lease/sharing agreement. Basically you can charge for all the expenses directly related to each individual flight including crew expenses and additional 100% of the fuel cost.
Now having said that, you need to have a law firm with good aviation law background to make up the lease agreements. The leases must be on file with your local FSDO and be carried on the aircraft at all times during any of the"leasing" flights.
Note of extreme caution. This only works in the United States. This type of operation is considered 135 in the EU and most of the rest of the world.
For more details please PM me.