You can expose a local outlook  client mailbox using html code. (With or
without sharepoint)

Just specify the folder parameter as "Contacts"

<OBJECT classid=CLSID:0006F063-0000-0000-C000-000000000046

id=ViewCtlFolder

width="100%"

height="400"

codebase="https://activex.microsoft.com/activex/controls/office/outlctlx
.CAB#ver=9,0,0,3203">

<param name="Namespace" value="MAPI">

<param name="Folder" value="Contacts">

<param name="Restriction" value="">

<param name="DeferUpdate" value="0">

</OBJECT>