Yes, we can change Lighting web component default Icon to some custom svg icons for Lightning App Builder and Experience Builder.
Change default Icon of LWC
Step: 1
In your lightning web component add a new file with same name of your component with .svg.
componentName.svg
Step: 2
Add your svg resource code in that file.
Step:3
Now open lightning app builder and check the component.
Let's see with an example to know more about svg icon for lwc component.
helloWorld.html
<template>
<lightning-card title="Hello World" icon-name="standard:account">
<div class="slds-m-around_medium">
<lightning-input label="Name" value={myName} onchange={handleNameChange}></lightning-input>
<h1>Hello {myName}</h1>
</div>
</lightning-card>
</template>
helloWorld.js
import { LightningElement, track } from 'lwc';
export default class HelloWorld extends LightningElement {
@track myName;
handleNameChange(event){
this.myName = event.target.value;
}
}
helloWorld.js-meta.xml
<?xml version="1.0" encoding="UTF-8" ?>
<LightningComponentBundle xmlns="http://soap.sforce.com/2006/04/metadata" fqn="helloWorld">
<apiVersion>46.0</apiVersion>
<isExposed>true</isExposed>
<targets>
<target>lightning__AppPage</target>
<target>lightning__RecordPage</target>
<target>lightning__HomePage</target>
</targets>
</LightningComponentBundle>
helloWorld.svg
<svg xmlns="http://www.w3.org/2000/svg" width="200" height="140" viewBox="0 0 200 140">
<path fill="#00A1E0" d="M 83.226562 15.273438 C 89.679688 8.554688 98.660156 4.382812 108.589844 4.382812 C 121.792969 4.382812 133.308594 11.746094 139.445312 22.675781 C 144.773438 20.292969 150.675781 18.96875 156.882812 18.96875 C 180.695312 18.96875 200 38.441406 200 62.460938 C 200 86.484375 180.695312 105.957031 156.882812 105.957031 C 154.03125 105.957031 151.1875 105.675781 148.390625 105.109375 C 142.988281 114.746094 132.695312 121.257812 120.878906 121.257812 C 115.933594 121.257812 111.257812 120.113281 107.089844 118.082031 C 101.617188 130.960938 88.859375 139.992188 73.988281 139.992188 C 58.503906 139.992188 45.308594 130.195312 40.242188 116.457031 C 38.027344 116.925781 35.734375 117.171875 33.382812 117.171875 C 14.945312 117.171875 0 102.070312 0 83.441406 C 0 70.957031 6.714844 60.058594 16.691406 54.226562 C 14.636719 49.5 13.496094 44.28125 13.496094 38.796875 C 13.496094 17.375 30.890625 0.00390625 52.34375 0.00390625 C 64.9375 0.00390625 76.132812 5.996094 83.226562 15.273438 "></path>
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</svg>
Also found above code in Tech Shorts Git repo