Yes, but with limits: this is a genuinely difficult subject, and with ordinary gear you should expect a noisy, low-keeper-rate result rather than a clean, detailed image every time.

What helps most:

• Use a camera with a larger sensor than a phone; it handles high ISO much better.
• Use the fastest lens you can, often at shorter focal lengths where wider apertures are more affordable.
• Use a very fast shutter speed to freeze motion, then raise ISO as needed.
• Modern mirrorless autofocus can track surprisingly well, even in dim light, if you can keep the subject in the viewfinder.
• If AF struggles, try zone focusing or pre-focusing on an area where the bat repeatedly flies.
• Avoid heavy cropping; getting the bat close enough in frame matters because cropping throws away light/detail.

Also, human vision isn’t a fair comparison: your eyes/brain effectively integrate multiple moments, like computational low-light imaging, while a single photo frame must capture everything at once.

So: possible with normal enthusiast cameras, especially recent mirrorless bodies, but difficult. The practical goal is usually a usable silhouette or documentary shot, not a perfectly clean, detailed wildlife portrait.