yes,
I did it for my satellite a205, around the same age as yours, and it is a significant change from the previous 5400rpm. Your model specs suggest SATA connector, so installation should be a cinch. Some people with laptops a year or older than yours have had issues with the mobo not recognizing the drive, but it depends on the drive manufacturer, or so they say. Stick with a familiar manufacturer. Also, sata1 is 1.5gbits/s, so your read/write is bottle necked at roughly 150MB/s. So there's no point spending money for a high speed sata3 drive, unless you plan to use it in another upgrade soon.
The cheapest sata2 should be your best bet, and they are really cheap these days, and are backwards compatible. Don't bother looking for sata1 rated SSD because they are more expensive. I'm using an ocz agility 3 on my laptop, but I'm planning to utilize it in my next desktop build.