Make position: fixed behavior like sticky (for Vue2)

As I mentioned in the comments, I'd recommend using a polyfill if at all possible. They will have put a lot of effort into getting it right. However, here is a simple take on how you might do it in Vue.

I have the application handle scroll events by putting the scrollY value into a data item. My sticky-top component calculates what its fixed top position would be, and if it's > 0, it uses it. The widget is position: relative.

new Vue({
  el: '#app',
  data: {
    scrollY: null
  },
  mounted() {
    window.addEventListener('scroll', (event) => {
      this.scrollY = Math.round(window.scrollY);
    });
  },
  components: {
    stickyTop: {
      template: '<div class="a-box" :style="myStyle"></div>',
      props: ['top', 'scrollY'],
      data() {
        return {
          myStyle: {},
          originalTop: 0
        }
      },
      mounted() {
        this.originalTop = this.$el.getBoundingClientRect().top;
      },
      watch: {
        scrollY(newValue) {
          const rect = this.$el.getBoundingClientRect();
          const newTop = this.scrollY + +this.top - this.originalTop;

          if (newTop > 0) {
            this.$set(this.myStyle, 'top', `${newTop}px`);
          } else {
            this.$delete(this.myStyle, 'top');
          }
        }
      }
    }
  }
});
#app {
  height: 1200px;
}

.spacer {
  height: 80px;
}

.a-box {
  display: inline-block;
  height: 5rem;
  width: 5rem;
  border: 2px solid blue;
  position: relative;
}
<script src="//unpkg.com/vue@latest/dist/vue.js"></script>
<div id="app">
  <div class="spacer"></div>
  <div class="a-box"></div>
  <sticky-top top="20" :scroll-y="scrollY"></sticky-top>
  <div class="a-box"></div>
</div>