Signature could be done by trackpad in Macbook

I would do what works.

Fill out and sign a PDF form in Preview on Mac - Apple Support

Annotate a PDF in Preview on Mac - Apple Support

Create and use email signatures in Mail on Mac - Apple Support

3 Ways to Create a Signature on a Mac OWC/MacSales

An electronic trackpad signature is not eloquent by any means..

Ben0318 wrote:

https://discussions.apple.com/content/attachment/c5e001c5-46dd-4202-9e42-17eff4f9cd7f

However, I cannot sign my name on the trackpad. Is it caused by the improper setting or hardware?

I have no explanation for you—

To be proactive you can file a bug report /submit your Apple Feedback here:  Feedback - macOS - Apple

you can verify your software is up to date…

The current stable release of Ventura including bug fixes,  security updates  is macOS Ventura 13.5.2

Keep your Mac up to date - Apple Suppor

Keep your Mac up to date - Apple Support

If you want to drill down on the issue you can

Call Customer Support  (800) MY–APPLE (800–692–7753)

or on line  https://getsupport.apple.com/

Outside the USA—Contact Apple for support and service by phone

See a list of Apple phone numbers around the world.

Contact Apple for support and service - Apple Support