The short answer is "no". Photoshop has a lot more font functionality than a web browser. It applies all kinds of smoothing algorithms, and you can control kerning, tracking and spacing much better.
Each browser and OS has a distinct rendering engine as well, so even if you could get it the same in one browser/OS combination, it would look different in another.
However, check out all the CSS properties for text to see if you can get something you're able to live with. If not, your best bet is to just make an image out of your text and add it to your page with good "alt" text and such.
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