Yes it is possible.
1. Make sure available for sublist box is checked for the saved search.
2. customization-->Forms--> subtab --> add a new subtab record for transaction.
3. customization--> forms-->sublist --> transaction tab -->create an entry --> select the search, tab and transaction type and save.
4. if there are linkage between the transaction and the your custom record, then you can add the transaction # in your saved search's filter region without checking the show filter check box. This will filter the search results in the newly created sublist only for that transaction.