No. While Cyclone allows users to develop MCNP input files and display results, it does not run MCNP. In order to run MCNP calculations, users must obtain a licence (see the LANL website for details) and run the calculations on their own system.
The next major update of Cyclone will provide complete ‘wrap around’ software for MCNP and so users will be able to run MCNP calculations (still on their own system) through the Cyclone software, manage files, and display results.