Yes you can.
-----The correct answer to your question will depend on several things:
- The distance from the main breaker panel and exact locations of the two sub-panels.
- The voltage of the circuit.
- The wire gauge to be used for the new circuit to the new sub-panel.
- The current rating (amperage) of the circuit breaker(s) in the main panel and of any further breakers or fuses to be installed into the sub-panels.
- Those current ratings can only be determined once you specify the number of socket outlets which are to be connected into the circuit and the power ratings of any fixed appliances which are also to be connected.
Electricity is far too dangerous to handle if you have not been trained how to do this work. If you use the wrong size and type of cable for the job and/or put just one wire in the wrong place, you risk being killed by electrocution or you could even start a house fire.
In many places nowadays it is illegal to attempt to do this kind of work unless you are already a licensed electrician or you have applied-for and have received a Homeowner Electrical Permit or an Installation Permit from your local Safety Authority to cover the work to be done at the location.
How to do this job depends entirely on the Wiring Codes or Regulations for the locality (Town/County/State) and on the exact location of the electrical equipment you wish to be installed.
A GFCI/RCD is needed if the location is subject to water splashes, water spray, dampness or humidity. That applies to any room supplied with running water pipes, like a kitchen, laundry room, bathroom, shower room, etc., or in a workshop, garage or anywhere outside a building in the open air, such as along an outside wall or a pool-side area.
If you get any other answer here, you might attempt to do something you shouldn't be doing, and that may cost someone a shock, a home fire, or even their life.
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As always, if you are in doubt about what to do, the best advice anyone should give you is to call a licensed electrician to advise what work is needed.
Before you do any work yourself,
on electrical circuits, equipment or appliances,
always use a test meter to ensure the circuit is, in fact, de-energized.
IF YOU ARE NOT ALREADY SURE YOU CAN DO THIS JOB
SAFELY AND COMPETENTLY
REFER THIS WORK TO QUALIFIED PROFESSIONALS.