Dreamhost shouldn't have a problem with it. Modern webservers add very little overhead for HTTPS. In fact there is a push to move all web traffic to https so I think they would appreciate it.
FYI for info on how to setup DreamHost for your custom domain.
https://www.dreamhost.com/hosting/ssl-t ls-certificates/
FYI for info on how to setup DreamHost for your custom domain.
https://www.dreamhost.com/hosting/ssl-t