If I assign an order to a trooper who is engaged can they still perform the 1 speed move?

While a trooper unit is in a melee with another trooper unit,
those units are engaged. A unit that is engaged cannot perform
moves, cannot be displaced, cannot perform ranged attacks, and
cannot be targeted by ranged attacks.

Page 26

BTW, I think this also means that you can't force push a unit off of you in melee.

35 minutes ago, Deuzerre said:

While a trooper unit is in a melee with another trooper unit,
those units are engaged. A unit that is engaged cannot perform
moves, cannot be displaced, cannot perform ranged attacks, and
cannot be targeted by ranged attacks.

Page 26

BTW, I think this also means that you can't force push a unit off of you in melee.

Force Push specifically says "even if it is engaged" so that is still a legal play.

25 minutes ago, Deuzerre said:

While a trooper unit is in a melee with another trooper unit,
those units are engaged. A unit that is engaged cannot perform
moves, cannot be displaced, cannot perform ranged attacks, and
cannot be targeted by ranged attacks.

Page 26

BTW, I think this also means that you can't force push a unit off of you in melee.

p46: WITHDRAW
If a unit is in an engagement, it may exit that engagement by withdrawing during its activation.
• To exit an engagement, a unit must withdraw by using its entire activation to perform a speed-1 move.
• A unit that is withdrawing cannot perform any other actions, including free actions, or resolve any abilities during its activation. It can only resolve the withdraw.
• If a game effect triggers by a unit moving, that game effect cannot be triggered by withdrawing.
• A panicked unit must withdraw, moving toward the closest edge of the battlefield.

You can Withdraw from an engagement, but from the first bullet you can only do this during your activation. As you don't activate when you resolve the effect of No Time For Sorrows you may not leave melee.

Force Push allows a speed 1 move, even if in melee as per the card text.