The answer is Yes, and No. Acrobat itself does not have any ability to connect to a DB directly. However, there are a couple of options.
1. On Windows, a LiveCycle form can connect to a DB through a standard ActiveX driver. This does not mean you have to recreate your form in LiveCycle, You could in fact create a LC form just for the purpose of transfering data into your DB. Of course you need that ActiveX driver, usually provided by the DB vendor.
2. In the old days we hooked a PDF into a DB through a server script. PDF submits to server, then server talks to DB. I use MySQL. Perl and other common server scripting languages have built in APIs for connecting to MySQL. So the trick is writing the server script. All the PDF does is submit data in a format the server script can parse, XML is a good choice for this.
BTW: I have loads of info on the LC database connection at www.pdfscripting.com.
Thom Parker
The source for PDF Scripting Info pdfscripting.com
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