Maria Charey and the Jackson 5 have already done it:
The singles released from Mariah Carey were unsuccessful in most music markets but became very popular in the U.S., making Carey a star there. "Vision of Love" became the first of many Billboard Hot 100 number 1 hits for Carey, and topped the charts in Canada and New Zealand. "Love Takes Time" reached number 1 in both the U.S. and Canada, but was only a moderate success in other markets and in some, such as the UK, it failed. "Someday" became another number 1 for Carey in the U.S. but only reached the top five in Canada, and elsewhere it had little impact. "I Don't Wanna Cry" tied Carey with The Jackson 5 as the act to have their first four singles hit number 1 in the U.S.
http://en.wikipedia.org/wiki/Mariah_Carey_(album)