Yes, I believe 1 Gb is the upper file size limit before you need to upsize to an adp (which has a limit in the terrabytes). As andrew pointed out, your rganization can make a huge difference in performance. I have a couple dbs with millions of records and they do fine, just be efficient. Also, don't forget about Tools|Database Utilities|Compact and Repair. Thas can GREATLY reduce the size of your file, and thus improve it's performance.
Also, keep on top of your data types (and field sizes - a field for a middle initial does not need to be 50 characters, for example). Finally, index foreign keys when possible.
Also, as andrew mentioned, performance across a network will be way slower.