Hello Jen,
There is a way to use wildcards in search forms, just follow these instructions. Navigate to your WebLink directory (default location is C:\Program Files\Laserfiche\WebLink) and open up the Web Files folder then the searchforms folder. Within that folder should be a folder corresponding to the repository the search is configured in. Open that up and edit the search you wish to use wildcards in by right clicking and selecting edit. You should see a line of code that looks like this
<Query>
<And>
<Constraint Type="Field" Operator="eq" MatchAll="False" MatchWholeWord="True" UseWildcards="True" ControlID="Test_Input0" FieldName="Applicant Name" />
</And>
</Query>
You can look at the last parameter (FieldName) to indicate which fields you are turning wildcard search on for. Set the UseWildcards parameter to true and the search should then use wildcards.
Please note that if you make changes to the custom search, this parameter may be reset to false, so finish designing the custom search first, then change the wildcard settings after. Then remember if you make further changes to re-enable the wildcard settings.