No. It will not work. The servos are not nearly quick enough. They are far to slow to balance the biped. They need to be able to move fast enough to enable dynamic balancing. This means constant weight shifting to stay upright.
Also they lack the torque. Remember that a biped has at least 18 motors and drivers and batteries for all of this. Then to take its first step it lifts one leg and places all the weight of these mototrs and batteries on one foot and then with that one foot the robot pushes itself such that it will fall one stride forward. But before it falls it places ther other leg in a position to break the fall. So each leg needs to be about as strong as to hold double the robot's weight.
You want a very high strength-to-weight ratio. Servos use a small motor with lots of gears. This gives them high torque but slow speed and high weight. The better motor, that we need are three phase and at least 24 poles and work with higher voltage, perhaps 24 to 36 volts and have peak currents of up. to around 100 amps. Yes, 3KW that fits in the palm of your hand. But 3KW only for some milliseconds. These moters can run efficiently at zero RPM but are typically used with 6:1 planitary gear reduction. “Everyone” uses repurposed drone motors and “FOC” to control them
One more “must have”. The motor needs to be “back drivable”. In other words, if you bend a joint with your hands the motr will spin. Servos realy are not reverse drivable. Finally servos are controlled to a POSITION but what you need to TORQUE control. You can try and simulate this with a servo mounted into a flexible structure but it works poorly.
This is not a wheeled cart, you MUST do the math BEFORE you start. You DO NOT want to buy a motor that is too heavy or one that is not big enough. And you need to calculate the angular velocity of each joint in the worst case and buy a motor with about a 2X performance margin. Servos don’t have the angular velocity needed for dynamic balance.
We humans stand and walk every day so it seems easy, when walking we push our whole body forward into a planned “face plant” but catch the fall with the other foot. We keep computing where that next foot should fall until that last millisecond. It can’t be pre-programmed.
Serial servos do work for a low-performance dog-robot. Dog-bots have 12 motors and stand on no fewer than two legs at a time, while humans have 28 motors and can stand on one leg. Humans need stronger legs than dogs.
I’d say build a quadruped. You will learn just as much as if you built a biped, but at 10X lower cost. I built a servo-powered dog-bot. My next robot would be a higher-performance version. I learned (1) you really have to count grams and (2) every joint needs to be supported by quality ball bearings, do NOT use the motor as a bearing. (3) You need pressure sensors in the feet. or it is hard to balance or even know if a foot is in contact with the floor
Try and prove me wrong with a simple and cheap experiment: Put a relly long arm omn a servo, say 8 or 10 inches then place the arm on a table so it suports the arm 8 or 10 inches above the table. now write some software to self-balance the servo on the end of the arm. You can place a hing on the bottom of the arm so you only hace to word in 2 dimensions. When this works, then you know the servo is quick enough and then try and make a stack of 4 servoes self balance. As it turns out stepper moters are quick enough to self-balance, bnut not serial servoes and not PWM servoes. Steppers could work bnut they have horrible power to weight ratio.