Unity Database

Would it be possible to setup database for sports game in Unity with some 1000 records, featuring player attributes(name, height, attack, speed, stamina), which could be used later in scripting process?

Which program would be suitable for creating a database?

I have created database in MS Access(small one just for testing), but is it possible to export it in unity at all?

It is possible to use databases with Unity and people are doing it. There are a number of other posts out there related to this, and some samples/tutorials. I don’t know about MS Access though. Personally I’d choose something free and standard like MySQL, though that’s just my background so it’s an easy choice. Try using this custom google search:
http://www.google.com/cse/home?cx=001712401338047450041:csfhqk-trfa

I’m sure you’ll find related discussions, tutorials and sample projects.