Short answer
Yes. Point a domain at your bucket with your provider, then set it as the destination's Public Base URL. Every link Aktar copies will use it.
How you connect a domain depends on the provider: Cloudflare R2 lets you attach a custom domain to a bucket in the dashboard, with Amazon S3 you would usually put CloudFront in front of the bucket, and most other providers offer a CDN or custom domain setting.
Because the upload endpoint and the public URL are separate settings, changing the domain later doesn't affect uploads. Links already in your history keep the address they were created with.