Yes, I had one recent oversight from July 2012 and had to write a letter of explanation regarding the circumstances. All other accounts had been paid on time for at least several years.
We were approved with a recent late payment on my husband's report. However his credit history was blemish free prior to this, and his score was still above 700.
If its a mortgage late, no way.
They will make you wait a year. They made me.