The answer the main question is no, as explained by Neil_UK, but the remainder of the following question is still valid.
If yes, then why do BLDC like computer cooling fans and bicycle hub motors use Permanent Magnet Synchronous Motors instead of Induction? Permanent magnets are expensive and degrade over time. Wouldn't Induction motor be more economical in the case?
The price of permanent neodymium magnets has been quite high, but it has varied a lot and other formulations are available. Price may or may not strongly discourage their use.
Permanent magnets do not degrade over time to any extent that discourages their use. They may be susceptible to excessive temperature and demagnetizing by excess armature current, but those are design challenges, not unsurmountable barriers.
Permanent magnets offer the possibility of higher efficiency with higher torque per mass. That makes them very attractive for battery-powered vehicles. If the cost is a little higher, it may be justified by providing longer driving distance per charge.
Induction motors can have efficiency and torque/mass increased by using copper instead of aluminum in the rotor and enhancing the cooling and as done for the first Tesla auto models. However that kind of motor is significantly more expensive than a typical induction motor.
The most economically attractive motor selection is determined by many factors. The determination can be quite complex.