Musically you wouldn't say better or worse (this is usually based on opinion), but you may say Stronger vs Weaker.
A strong chord progression would be one that would generally follow the pattern: Tonic > Sub-Dominant > Dominant.
TONIC: I , III, VI
SUB DOMINANT: II, IV
DOMINANT: V, VII
I-IV-V is strong because the progression follows the
order of (I) Tonic - (IV) Subdominant - (V) Dominant.
I-V-I-V is also strong even with just two chords because the chords are progressing: (I) Tonic - (V) Dominant - (I) Tonic - (V) Dominant.. There is no Sub-Dominant chord, but it is still progressing.
II-VII-I is strong because it is still following the progression: (II) Subdominant - (V) Dominant - (I) Tonic. Even though we didn't start with the Tonic chord, it still follows what would be considered a strong progression.
Given this simple algorithm, I can have a Computer just arbitrarily pick random chords that follow the order: T > SD > D without regard to key or voicing, and I should come up with what would be considered a strong chord progression.
I wrote a python script that randomly picked this: II - V - I - IV - VII - III - IV - V
This is an 8 bar progression that would psychologically sound fine to the normal listener.
Basically a weak progression would be one that doesn't follow this order, and you may hear the term Digression.
Examples: VII - II - III - IV or I - I - I - I or IV - II - I - III
When you master this basic type of composition, it is recommend to start incorporating more advanced harmony techniques like Secondary-Dominants, Modal Interchange, 6th chords, Chromatic Harmony, blah blah blah..
In a nut shell, yes there is an order that is more psychologically pleasing for the average human, and this is usually the order Tonic > Sub Dominant > Dominant. Without getting too technical, the reason is because the Dominant chords have 2 leading tones that naturally want to resolve to the Tonic chord - and our ears are pleased when the Dominant leads to the Tonic chord. When the Dominant chord goes to something else besides the Tonic; our ears notice this and say "WTF, that doesn't sound like the Tonic chord, there wasn't any resolution, this sounds like a weak chord progression, I may like it, but it sounds weak."
Again this is a technique used for composing and you may hear the term Circle of 5ths. Check out the Circle of 5ths if you haven't already done so and you may find a deeper insight to why this works.