You will want to speak to your doctor concerning this. My answer is no. In fact, I have heard doctors tell patients with moderate to severe sleep apnea that they should even wear their CPAP devices when they are at home doing very relaxing activities, such as using the television or reading.
There is a good reason for this. Let me elaborate. Depending on the variation of sleep apnea you have, you could be putting your life at risk in the worst-case or just not getting much sleep for your nap in the best circumstance. Having your device with you is essential in situations where you need to sleep or are going to be relaxed enough that your breathing could be compromised. Again, I stress that you talk to the doctor that prescribed your sleep therapy. They will know which kind of sleep apnea you have and if napping without your device is advisable for you or not.