No, the first computers were developed long before the time of telephones. The telegraph was invented in 1844, while Claude Shannon published his paper on how to digitally represent information in 1938. Computers starting appearing long before phones did. Even so, they remained expensive and bulky so few people owned them until the 1970s when they got smaller and more affordable.
These days there are different versions of both computers and phones but some people use computers for phone calls- like Skype or FaceTime. And while some people might argue that one is more important than the other (like FaceTime vs Express Drive), it really depends on someone’s lifestyle which they prefer most!