I think you can't do that but you might want to organize your connections using folders to speed up your search.
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There are three different concepts of filtering SQL Developer supports (depending on the version) in a connection's tree. The first is new for 4.0:
1. Filter which folders appear under all (Oracle | TimesTen) connections: use Tools > Preferences > Database > Navigation Filter
2. Filter which objects appear in all folders under a connection (a schema filter): right-click on an open connection > Apply Filter
3. Filter which objects appears in a specific folder under a connection: right-click on folder > Apply Filter
For (3), you also have the option to override any schema filter plus include synonyms.
SQL Developer Team
yes , there is ,
try "view menu" > "find database objects" , it will display what you want .
Glad to see you are rapidly familiarizing yourself with SQL Developer. There can be quite a learning curve as there is so much functionality packed into the tool, and more being added all the time.
I almost threw in a comment about Find functionality (much improved for 4.x) in my original response, but you asked about filtering. In these forums, just as with web searches, your results depend on how you ask the question.