No, the electron and muon are different fundamental particles in the Standard Model. However they are both leptons, meaning particles with spin-1/2 and are not affected by the strong force. Both are fundamental particles, so both are considered point particles. There are other differences between the muon and electron. For example, the muon is 200 times more massive than the electron, and is very short-lived: within 2.2 microseconds it will decay away. Whereas electrons are indefinitely stable particles, as far as we know.
A fun fact about electrons and muons: while the magnetism of the electron has been found to agree between theory and experiment to 12 decimal places, the magnetism of the muon was measured about a decade ago and found to be off by 3 sigma from its predicted value in the Standard Model. Because of that, people are currently rerunning the experiment with greater precision (3 sigma is not enough to count as a discovery). It is possible that the muon may hold a hint to explaining what is wrong with the SM.