Not likely
The sim at DSO (Dubai Silicon Oasis) is a CAE sim that is used almost exclusively for FZ training.
All in all, CAE have 3 certified 737NG sims in Dubai (soon to be 4) which are usually fully booked weeks ahead by local, Gulf and European and airlines. They will occasionally (when business is slower) entertain the idea of leasing to individuals for recurrents/conversions etc, but i doubt that they will quote you for less than a full sim session (4 hrs). Google CAE Dubai for their phone number and ask to talk to their sales guys. Good luck.