If the website you are accessing uses the standard HTTPS TCP port number then yes.
Client to Website
source TCP port 1023-65535 destination TCP port 443
Website to Client
source TCP port 443 destination TCP port 1023-65535
CatOS
set qos acl HTTPS dscp xx tcp any range 1023-65535 any 443
set qos acl HTTPS dscp xx tcp any 443 any range 1023-65535
IOS
ip access-list extended HTTPS-ACL
permit tcp any range 1023-65535 any eq 443
permit tcp any eq 443 any range 1023-65535
!
class-map match-any HTTPS-Class
match access-group HTTPS-ACL
set dscp xx
!
policy-map HTTPS-Policy
class HTTPS-Class
bandwidth xxx
Certain switch/router IOS commands may be different, but thats the general idea.
Andy