I see a lot of brick-and-mortar businesses around me that don’t bother with a website, and if they have one it’s usually ancient. It seems like most of their activity is on social media, mainly Facebook.
Do you need a website or will a Facebook page suffice?
A good website is where all digital marketing campaigns lead to. Yes you need one. Google will give you one for free and you can have your own domain for $10-$12 per year so you don’t really have an excuse to not have one.
Also make sure to get your free google business profile also so you show up on search.
My biggest client was a brick and mortar store. We started selling their products online and they do millions every year on online sales alone. Do not underestimate the value of a good website.