I lost my LOG/ANCHOR files, can I still access my data?

Yes, you can open the store as read-only by setting JDBC connection
properties.

java.util.Properties props = new java.util.Properties();
props.setProperty("readonly","true");
db.setConnection(new ConnectionDescriptor("jdbc:borland:dslocal:"+fileName
,"userName","pwd",false,"com.borland.datastore.jdbc.DataStoreDriver",props));