Is it possible to nest elements of one block in another?

Question

BEM

Is it possible to write bem like this?:

1)

<div class="l-about">
    <div class="l-about__inner">
        <div class="l-about__left">

            <div class="history">
                <h1 class="l-about__title">Большой заголовок</h1>

                <div class="history__timer"></div>
                <div class="history__banner"></div>

                <div class="l-about__section">
                    <h4 class="l-about__sub-title">Заголовок по меньше</h4>
                    <p class="l-about__text">Текст</p>
                </div>
            </div>

        </div>

        <div class="l-about__right">
            <div class="about-sidebar"><!-- code --></div>
        </div>
    </div>
</div>

2)

<div class="l-about">
    <div class="l-about__inner">
        <div class="l-about__left">

            <div class="history shared-about-elements">
                <h1 class="shared-about-elements__title">Большой заголовок</h1>

                <div class="history__timer"></div>
                <div class="history__banner"></div>

                <div class="shared-about-elements__section">
                    <h4 class="shared-about-elements__sub-title">Заголовок по меньше</h4>
                    <p class="shared-about-elements__text">Текст</p>
                </div>
            </div>

        </div>

        <div class="l-about__right">
            <div class="about-sidebar"><!-- code --></div>
        </div>
    </div>
</div>

Answer 1

No.
Quote from the documentation:
"Element A
component of a block that cannot be used in isolation from it. Elements do not exist outside the block. Each element can belong to only one block."