If it is a mundane thing, like taking out the trash, no…you just do it!
If you’re talking about trying to find motivation for something like a career path that you are not really interested in but doing simply to pay the bills or please others, then, yes…without inner motivation you are going against your true self and that is always a bad thing.
Sadly, this is the way of the world for most of us, having to force our square pegs into round holes for survival purposes. From someone who enjoyed years of being aligned with my true self and talents, nothing is worse than having to force yourself to do something your heart is not invested in.
To really thrive in life it is very important to try and find your natural source of motivation minus any contrived effort.