Hey there! Typically yes, but it's not a guarantee that you can transfer your custom URL to your new channel. Make sure your new channel meets the eligibility criteria. Steps to remove and set up a custom URL are outlined here: https://yt.be/help/4moa
We send out an email with the details of the suspension so it's probably in your inbox. If you want to remove the channel, check out this article: https://yt.be/help/iq1w . Let us know if you need any more help.