Yes. If you plan to scrap or sell the first computer remember to deactivate the software first (Help> Deactivate for PSE11 and earlier, Help> Sign Out for PSE12.
If you intend to keep the first computer you can still install PSE on the new (you are allowed to have two activated computers with your PSE licence) but you should not use both concurrently.
Cheers,
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Neale
Insanity is hereditary, you get it from your children
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