No, Google doesn’t allow businesses to remove positive reviews or negative reviews. You can flag them if they are spam, however, which may lead to them being removed.
But instead of being concerned about negative reviews, look at them as an opportunity. How you respond to reviews shows that you care about your customers and want to do what you can to correct a problem, which is a positive sign to prospects. You may never please the disgruntled reviewer, but you could leave a good impression on everyone else by showing good customer service.