Yes, you can record your baby using the Arenti AInanny baby monitor.

The monitor supports recording through several methods:
- It allows storage on an SD card, with a maximum capacity of 256GB. You can record videos or take screenshots using the monitor or the Arenti app on your cellphone.
- There is also an option for cloud storage, although the specifics of cloud storage capacity and duration are not detailed in the provided sources.

The duration of the recording depends on the storage capacity of the SD card you use. For example, a 256GB SD card can store a significant amount of video footage, but the exact hours will vary based on the video quality and other factors such as the compression format (H.264 in this case).