I think the only way (at least as of a few months ago) is a sort of hack where you include a non-rendering component that uses the recoil hooks and exports the provided functions from them.
See: https://github.com/facebookexperimental/Recoil/issues/289#issuecomment-777249693
Below is the file from my own project that achieves this, heavily based on that link above. All you need to do is put <RecoilExternalStatePortal /> anywhere in your application tree that is guaranteed to always render.
This seems like an omission in the Recoil API, IMHO.
import React from 'react'
import { Loadable, RecoilState, RecoilValue, useRecoilCallback, useRecoilTransactionObserver_UNSTABLE } from 'recoil'
/**
 * Returns a Recoil state value, from anywhere in the app.
 *
 * Can be used outside of the React tree (outside a React component), such as in utility scripts, etc.
 * <RecoilExternalStatePortal> must have been previously loaded in the React tree, or it won't work.
 * Initialized as a dummy function "() => null", it's reference is updated to a proper Recoil state mutator when RecoilExternalStatePortal is loaded.
 *
 * @example const lastCreatedUser = getRecoilExternal(lastCreatedUserState);
 */
export function getRecoilState<T>(recoilValue: RecoilValue<T>): T {
  return getRecoilLoadable(recoilValue).getValue()
}
/** The `getLoadable` function from recoil. This shouldn't be used directly. */
let getRecoilLoadable: <T>(recoilValue: RecoilValue<T>) => Loadable<T> = () => null as any
/**
 * Sets a Recoil state value, from anywhere in the app.
 *
 * Can be used outside of the React tree (outside a React component), such as in utility scripts, etc.
 *
 * <RecoilExternalStatePortal> must have been previously loaded in the React tree, or it won't work.
 * Initialized as a dummy function "() => null", it's reference is updated to a proper Recoil state mutator when RecoilExternalStatePortal is loaded.
 *
 * @example setRecoilExternalState(lastCreatedUserState, newUser)
 */
export let setRecoilState: <T>(recoilState: RecoilState<T>, valOrUpdater: ((currVal: T) => T) | T) => void = () =>
  null as any
/**
 * Utility component allowing to use the Recoil state outside of a React component.
 *
 * It must be loaded in the _app file, inside the <RecoilRoot> component.
 * Once it's been loaded in the React tree, it allows using setRecoilExternalState and getRecoilExternalLoadable from anywhere in the app.
 *
 * @see https://github.com/facebookexperimental/Recoil/issues/289#issuecomment-777300212
 * @see https://github.com/facebookexperimental/Recoil/issues/289#issuecomment-777305884
 * @see https://recoiljs.org/docs/api-reference/core/Loadable/
 */
export function RecoilExternalStatePortal() {
  // We need to update the getRecoilExternalLoadable every time there's a new snapshot
  // Otherwise we will load old values from when the component was mounted
  useRecoilTransactionObserver_UNSTABLE(({ snapshot }) => {
    getRecoilLoadable = snapshot.getLoadable
  })
  // We only need to assign setRecoilExternalState once because it's not temporally dependent like "get" is
  useRecoilCallback(({ set }) => {
    setRecoilState = set
    return async () => {
      // no-op
    }
  })()
  return <></>
}