Yes, there is. Surprisingly, payed appears in an entry
in The American Heritage Dictionary (Houghton Mifflin, 1996).
It’s the past form and past participle of pay
meaning: "to let out a line or cable by slackening." It’s
a nautical term.
This pay is different from pay, the
verb you must mean as “the habitual one,” which means “to
give money in exchange for something.” The irregular past and
past participle forms of this usual pay are paid
and paid. The pay that you mention,
with the past and past participle forms of payed and
payed, is formed in the regular manner: by adding -ed
to the simple form of the verb.