No. Words that cause lenition never add an h to words that begin with vowels.
You will sometimes see other words - ones that do not cause lenition - adding h- to the beginning of a word, as in Na h-Òganaich.
As it can be confusing, it may be useful to remember that words that cause lenition never add h after a vowel, or add h-, t- or n- before a vowel. As far as I can think, the only thing that ever happens is that one or two specific ones add dh'
Chaidh mi a Shasainn 'I went to England'
Chaidh mi a dh'Alba 'I went to Scotland'.