Couldn't find anything relevant in the documentation, and I really prefer to use this element out-of-the-box and not to create one myself using SLDS.
IF you Just want to move the SF logo you can try this
<template> <div class="slds-text-body_small">The quick brown fox jumps over the lazy dog. <span style="position:relative; top:-2px;"> <lightning-helptext icon-name="utility:salesforce1" content="Click the icon"></lightning-helptext></span> </div> </template>
there could be multiple other ways to do this
Hey try this Playground
Basically, wrapping the element in a span and adding css to the span element