I can assure you, people are not getting VS's easily. Behind every 2 VS offers are an inbox full of PFOs from other firms. It's partly a numbers game at the end of the day. However, it is also about putting in the work. You need to be using career advisors to review your cover letters and putting in the time and effort to research each firm for their unique selling points - at a bare minimum.
You also need to ask yourself if you have enough experience to draw on to be competitive. Law attracts ambitious people, and said people are more likely to have taken the initiative to bolster their CVs with good grades, a good university, leadership positions on relevant commercial-focused societies and involvement in other extra-curriculars (Ie. sport). If you haven't taken the initiative to do this, you have put yourself at a disadvantage, but there are many ways to fix this, for example, paralegalling (sic) for a year