What is HD photography?
Please clarify the term, because you may mean several different things.
HD abbreviation that I am familiar with pertains to video - TV sets and video camcorders. It stands for High definition, and means that it is capable of capturing/displaying more than standard (SD) TV's 720x480 image (480i standard)
If that's what you ask for - yes Z1015 can record video at 720p, which is not highest HD standard (which is 1080p), but quite decent for a video (resolution of 1280x720). Though using a still image camera for video recording is quite pathetic in my opinion.
If you're asking about HDR - High Dynamic Range photography, yes you can do it, but it does not do this automatically, nor I would call this camera a great choice for HDR photography. HDR means you get the scene with a wider range of separation between shadows and highlights, and get everything in a shot exposed correctly. No blowouts or falloffs. Not sure if it supports bracketing, but if it does, makes it easier. If not a lot harder as it needs a very steady tripod, so that you can take a few shots without moving the camera a notch, while changing settings in between. Then you need special software to process HDR images. You can, sometimes get a sort of HDR from a single RAW frame, but that does not always work as well.
If you're asking about something else - you need to tell us more of what you ask. But in all honesty, I wouldn't hold a Kodak p&s camera to a task of producing far superior images. If you are an advanced amateur and shoot manual (and understand what you're doing in a process, not just relying on camera meter or experimenting to set your manual settings blindly, or willing to learn it) - you really need an SLR camera to move forward. Getting a better p&s will not get you advanced too far.
LEM.