Adobe Premiere CS4

I do not know if there are any links to that very old program, but read below and find out for yourself... I do know that the information below will only work if you have your serial number to provide proof of ownership

Program installers https://www.adobe.com/gr_en/downloads/other-downloads.html
If you are not able to find your program installer at 'other-downloads' read below
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IMPORTANT NOTE:
The process below WILL NOT WORK if you have a (CS6 or earlier) serial number for an education or volume version, since the only downloads now available are the retail installers, which DO NOT work with an education or volume serial number
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Go to https://www.adobe.com/about-adobe/contact.html
-click on the Chat bot on the bottom right hand corner of the first screen
--the chat bot is the circle with a funny looking box with 3 dots inside
-click on Downloading or Installing, then type Agent
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Do NOT let the support agent tell you to come to the forums for help... no user in a public forum has access to Adobe's internal links, you MUST obtain the program and update links from Adobe support
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AND when you finally do have a download link, be sure to copy every file you download to an external drive (or 2 or 3) so you never have to hunt for download links if they are moved again... also make a text file containing ALL of your serial numbers and copy that file as well

Answer is no.

You cannot even get CS6 anymore let alone CS4.