QUICK ANSWER
"Si" is a form of "si", a conjunction which is often translated as "if". "Yo puedo" is a form of "yo puedo", a phrase which is often translated as "I can". Learn more about the difference between "si" and "yo puedo" below.
si(
see
)A conjunction is a word that connects words, phrases, clauses, or sentences (e.g., The cat and the dog slept.).
A masculine noun is used with masculine articles and adjectives (e.g., el hombre guapo, el sol amarillo).
yo puedo(
yoh
pweh
-
doh
)A phrase is a group of words commonly used together (e.g., once upon a time).
a. I can
Yo puedo salir a las tres los viernes para recoger a mi hijo porque mi jefa es muy comprensiva.I can leave at three on Fridays to collect my son because my boss is very understanding.
a. I might
Yo puedo estar equivocado, pero estoy seguro de que tú tampoco tienes razón.I might be wrong, but I'm sure you're not right either.