It's an "E Reg" so yes, if it was new - 1967.
In August 1962, an attempt was made to create a national scheme to alleviate the problem of registrations running out. This used the scheme introduced in 1932, of a three-letter combination followed by a sequence number from 1 to 999, but also added a letter suffix, which initially changed on 1 January each year. An "A" suffix was thus used for 1963, "B" for 1964, etc. Middlesex was the first authority to adopt this scheme when it issued AHX 1A in February 1963. Most other areas followed suit during 1964, but some chose to stick to their own schemes up until 1 January 1965, when the letter suffix was made compulsory.
As well as yielding many more available numbers, it was a handy way for vehicle buyers to know the age of the vehicle immediately. However, the year letter changing on 1 January each year meant that car retailers soon started to notice that buyers would tend to wait until the New Year for the new letter to be issued, so that they could get a "newer" car. This led to major peaks and troughs in sales over the year, and to help flatten this out somewhat the industry lobbied to get the scheme changed, so that the change of year letter occurred on 1 August rather than 1 January. This was done in 1967, when "E" suffixes ran only from 1 January to 31 July, before "F" suffixes commenced on 1 August.