Yes.
An alchemist can utilize spell-trigger items if the spell appears on his formulae list, but not spell-completion items (unless he uses Use Magic Device to do so).
Does an alchemist that knows an extract of a particular spell able to use a wand of the same spell without needing a UMD check? For example, if the alchemist knew the cure light wounds extract, would he be able to use a cure light wounds wand without needing to make a UMD check?
Yes:
"Although the alchemist doesn’t actually cast spells, he does have a formulae list that determines what extracts he can create. An alchemist can utilize spell-trigger items if the spell appears on his formulae list, but not spell-completion items (unless he uses Use Magic Device to do so)."So wands are fine, but not scrolls.