No. All things are possible in some way but in this particular case it is difficult, and unwieldy enough to render it highly impractical. Amongst the problems:
You can use other drivers (types 3 and 4 preferred) to connect your applet to a database except for Access. Access is a desktop database product and it can only work with commercial type 4 JDBC driver at http://www.hxtt.com/access.html for Applet.