You can try to call the intent with ACTION_VIEW, but you will need the contact ID before hand...
Intent intent = new Intent(Intent.ACTION_VIEW);
Uri uri = Uri.withAppendedPath(ContactsContract.Contacts.CONTENT_URI, String.valueOf(contactID));
intent.setData(uri);
context.startActivity(intent);
Edit:
To get a contact id from contact number:
public static int getContactIDFromNumber(String contactNumber,Context context)
{
contactNumber = Uri.encode(contactNumber);
int phoneContactID = new Random().nextInt();
Cursor contactLookupCursor = context.getContentResolver().query(Uri.withAppendedPath(PhoneLookup.CONTENT_FILTER_URI,Uri.contactNumber),new String[] {PhoneLookup.DISPLAY_NAME, PhoneLookup._ID}, null, null, null);
while(contactLookupCursor.moveToNext()){
phoneContactID = contactLookupCursor.getInt(contactLookupCursor.getColumnIndexOrThrow(PhoneLookup._ID));
}
contactLookupCursor.close();
return phoneContactID;
}
For more on Contact manipulation, have a look at this answer...