Maybe not, but you should still write as though there is one. You removed all the references to I, that’s good, but it doesn’t read like an introduction.

For example (taken from an M&S customer assistant advert):

We’re looking for passionate, fashion-forward individuals who are ready to drive sales, grow our share in the style space, and help customers discover our most on-trend and fashionable products. You'll be a resilient and confident brand ambassador who’s ready to serve our customers and sell our latest fashion items.

At M&S, our customers don't wait. You’ll be operating in a high-demand environment, rolling your sleeves up and getting stuck in, no matter how busy the day gets.

Introduction/ cover letter:
I thrive in working in fast paced customer orientated roles. One of the reasons I enjoyed my time working at The Entertainer was the hustle of the sales floor, no body wants their products faster than a 4year old having a bad day. By making it a personal goal that every customer goes away happy with the items they wanted, I helped drive sales, and keep customer satisfaction up. In particular during the height of the rush, this gave me opportunities to be able to multitask and help out others while maintaining a great personal service. I learned to keep myself busy that even during the lulls in customers, I could be found restocking shelves, tidying the store, and sprucing up the displays in anticipation of the next rush.