Answer by taking a quote from the following article:

King Crimson are an English progressive rock band formed in London in 1968. King Crimson have been influential both on the early 1970s progressive rock movement and numerous contemporary artists. The band has undergone numerous formations throughout its history of which 21 musicians have been members; since October 2017 it has consisted of Robert Fripp, Jakko Jakszyk, Tony Levin, Mel Collins, Pat Mastelotto, Gavin Harrison, Jeremy Stacey and Bill Rieflin. Fripp is the only consistent member of the group and is considered the band's leader and driving force.

After a search for new musicians, Fripp and Sinfield secured a returning Collins and Ian Wallace on drums. Auditions for a singer included those from Bryan Ferry and John Gaydon, the band's manager,. The position went to Raymond "Boz" Burrell. Bassist John Wetton was invited to join, but declined (at the time) in order to play with Family. Rick Kemp also declined an offer to join, leaving Fripp and Wallace teaching Burrell to play bass rather than continue auditions. Though he had not played bass before, Burrell had played enough rhythm guitar to assist him in learning the instrument. With the line-up complete, King Crimson toured in 1971 for the first time since 1969. The concerts were well received, but the musical and lifestyle differences of Collins, Wallace, and Burrell began to alienate the drug-free Fripp, who began to withdraw socially from his bandmates, creating further tension.  In 1971, the new King Crimson formation recorded Islands. Loosely influenced by Miles Davis's orchestral collaborations with Gil Evans and Homer's Odyssey, the album also showed signs of a split in styles between Sinfield (who favoured the softer and more textural jazz-folk approach and wanted the band to move in a Miles Davis direction) and Fripp (who was drawn more towards the harsher instrumental style exemplified by the instrumental "Sailor's Tale", with its dramatic Mellotron and banjo-inspired guitar technique). Islands also featured the band's one-and-only experiment with a string ensemble on "Prelude: Song of the Gulls" and the raunchy rhythm-and-blues-inspired "Ladies of the Road". A hint of trouble to come came when one member of the band allegedly described the more delicate and meditative parts of Islands as "airy-fairy shit". Released in December 1971, Islands charted at No. 30 in the UK and No. 76 in the US. Following a period of touring Islands, Fripp asked Sinfield to leave the band, citing musical differences and a loss of faith in his partner's ideas. The remaining band broke up acrimoniously in rehearsals shortly afterward, owing to Fripp's refusal to incorporate other members' compositions into the band's repertoire. He later cited this as "quality control", with the idea that King Crimson would perform the "right kind" of music.  King Crimson reformed to fulfil touring commitments in 1972, with the intention of disbanding afterwards. Recordings from various North American dates between January and February 1972 were released as Earthbound in June 1972, noted and criticised for its sub-par sound quality and playing style that occasionally veered towards funk, with scat singing on the improvised pieces. By this time, a definite musical rift between Fripp and the rest of the band existed, since Wallace, Burrell and Collins favoured a more rhythm-and-blues style. Though personal relations improved during the 1972 tour (to the point where most of the band wished to continue), Fripp opted to part company with the existing band and to restructure King Crimson with new members, since he felt the current members wouldn't be able to play the new material he had in mind.

Did they record any other albums during that time?
since he felt the current members wouldn't be able to play the new material he had in mind.