If by "deploy without software" you mean what is commonly termed XCOPY deployment, i.e. you simply copy the files onto the user's machine using Windows Explorer, then you simply copy the Access data file that way too. If the application couldn't find the data file in the location it looked at then either:
1. you didn't deploy the data file; or
2. you deployed the data file to the wrong place; or
3. the application is looking for the data file in the wrong place.
Which is it?