No. There’s no way for a website, app, or any other online service to determine if you’re using a residential proxy. Dedicated residential proxies differ from other types by being essentially undetectable. You may, however, still receive an IP ban for other reasons such as sending too many requests.
Datacenter proxies and free residential proxies, on the other hand, may have the possibility of being detected. As such, you should always use residential proxies that you pay for.