Probably not in up-down (center-aligned) mode.
In center-aligned mode, to achieve phase shift, you can use the Asymmetric modes, but those group CH1-CH2 and CH3-CH4 together, so at the end you have only 2 channels available for output.
In "non-center-aligned" modes, you could use Combined modes, where you would group CH3-CH4, apply "distortion" from CH5 to CH2 (see TIM1_CCR5.GC5C2), and use CH1 "undistorted".
Devil is as usually in the details, and maybe this combination would, maybe won't fit your particular application.
JW