Well, no... but depending on context you might have to deal with it. Privately people can do whatever they want, in business, the customer gets to decide. I work as a consultant, if a customer prefer a phone call, then I pick up the phone. If I'm busy a co-worker answers.

In a previous job I was the customer, and I refused to do Skype meeting, because I didn't want to spend 10 minutes figuring out why audio wasn't working. If you didn't want to call me, then I just took my business else where.