If it's possible in the real world, you can make it happen in DAZ, you will need to use the timeline tab to set up key frames & stuff. I'm still struggling with animations myself, it's very tedious & time-consuming. Plenty of tutorials about, best to read as many as possible. You definitely need to master the basics of posing a character and making still-image renders first.
DAZ also gives many options for saving the animation, AVI etc. I mostly make very short clips, say 1 to 5 seconds, then save as BMP frames. Then I can convert to GIF, and use EGIFAN or AGIFED to make an animated GIF file.