Yes. You can create a coupon code in MemberPress to offer a discount. MemberPress promo codes are a great way to promote your membership site or courses during events like Black Friday or Cyber Monday.
You can set an expiration date for your coupon if you only want to offer it for a limited time.
You can also enable a trial period for members. This lets you offer the first week or month at a discount on the first payment. You could even offer a free trial period.