[SalesForce] Is it possible to save the data from Pre-Chat from to Live Agent Transcript record

You are using the deployment API which is different to the tags that must be used in the pre-chat form.

Here is an example on how to create a case with some information pre-populated that will also show in the console for the agent, you can do the same without creating a record, this should give you an idea.

<input type='hidden' name='liveagent.prechat:caseorigin' value='Chat'/>
<input type='hidden' name='liveagent.prechat:caseContactId' value='{!$User.ContactId}'/>
<input type="hidden" name="liveagent.prechat.findorcreate.map:Case" value="Origin,caseorigin;ContactId,caseContactId;" />
<input type="hidden" name="liveagent.prechat.findorcreate.map.doCreate:Case" value="Origin,true;ContactId,true;" />
<input type="hidden" name="liveagent.prechat.findorcreate.saveToTranscript:Case" value="Case" />
<input type="hidden" name="liveagent.prechat.findorcreate.showOnCreate:Case" value="true" />

The section you care about if all you want is to show the details on the console would be this

<input type='hidden' name='liveagent.prechat:caseContactId' value='{!$User.ContactId}'/>

in combination with this value

<input type= "hidden" name= "liveagent.prechat.findorcreate.displayToAgent:caseContactId" value= "true" />

With that, you are assigning a value to a custom chat detail that will be shown to the agent that gets the chat assigned.

You can automatically attach the transcript to a record i.e. a case by using the saveToTranscript method. Depending on wheter you are using the pre-chat API or deployment API all you have to do is follow the instructions on the developer guide to automatically related the transcript to the case.

findOrCreate.saveToTranscript

Syntax

 <input type="hidden" name= "liveagent.prechat.findorcreate.saveToTranscript: String
    entityName" value= "String transcriptFieldName" />