Do odes have rhyme schemes?
An ode will normally have a rimescheme.
The essence of an ode is that the poet invents a new stanzaform,
and then repeats it as many times as he needs to finish the poem.
The stanzaform will usually have a mixture of long and short lines,
and a fairly intricate rimescheme to hold the whole thing
together.
Most odes imitate the Greek odes of Pindar to some extent
(Pindar is largely responsible for the idea that an ode stanza
needs to mix long lines with very short ones).
The ode was especially fashionable during the second wave of
English Romanticism - particularly with Shelley and Keats.
A famous example of an ode without a rimescheme is William
Collins' Ode to Evening' - but that poem is an exception, rather
than the rule.