Technically yes...
Technically, as indigochild explained well, nothing technically prevents a vampire from finding a spirit and making it teach him a gift.
However, most spirits won't teach Gaia's gifts to a vampire even under threat of death, so it boils often down to Banes that teach Wyrm gifts. But can they use them?
but they can't use them...
Now, most (almost all) gifts demand the presence of Rage or Gnosis to be used. Both an ordinary Vampire does not possess, so they can't use them at all... And as we will see in the last paragraph, they can't use any for they never ad Gnosis to begin with.
unless they are an abomination...
But even to that, there is a huge exception: Vampires that embrace Garou create so-called Abominations. Abominations are monsters that have all the rage and gnosis (replacing Humanity) to fuel their wyrm tainted gifts, they have the knowledge of how to work spirits into submission and teaching them more sinister gifts.
...that still has Gnosis.
There is though one point that makes learning gifts a gamble:
When the Abomination’s
Gnosis is all gone, it can no longer [...] use
any Gifts
W20 Changing Breeds p224
No Gnosis means no gifts work. Having had no Gnosis to begin with, ordinary Vampires can't use gifts at all, even if they manage to learn them.