Using STM32 HAL Timer and Adjusting the Duty Cycle of a PWM signal

Do not reinit the timer when you want to change a setting, HAL has a dedicated macro for that purpose called:

/**
  * @brief  Sets the TIM Capture Compare Register value on runtime without
  *         calling another time ConfigChannel function.
  * @param  __HANDLE__: TIM handle.
  * @param  __CHANNEL__ : TIM Channels to be configured.
  *          This parameter can be one of the following values:
  *            @arg TIM_CHANNEL_1: TIM Channel 1 selected
  *            @arg TIM_CHANNEL_2: TIM Channel 2 selected
  *            @arg TIM_CHANNEL_3: TIM Channel 3 selected
  *            @arg TIM_CHANNEL_4: TIM Channel 4 selected
  * @param  __COMPARE__: specifies the Capture Compare register new value.
  * @retval None
  */
#define __HAL_TIM_SET_COMPARE(__HANDLE__, __CHANNEL__, __COMPARE__) \
(*(__IO uint32_t *)(&((__HANDLE__)->Instance->CCR1) + ((__CHANNEL__) >> 2)) = (__COMPARE__))

For Timer 1 - Channel 1 and Timer 1 - Channel 2 it should look like:

Data_Update();
adjust_PWM();

__HAL_TIM_SET_COMPARE(&htim1, TIM_CHANNEL_1, pulse_width);
__HAL_TIM_SET_COMPARE(&htim1, TIM_CHANNEL_2, pulse_width);