The initial description of Aragorn (Strider) from the Fellowship of the Ring does not mention any beard:
As Frodo drew near be threw back his hood, showing a shaggy head of dark hair necked with
grey, and in a pale stem face a pair of keen grey eyes.
'I am called Strider,' he said in a low voice.
Given Tolkien has no aversion to describing beards. After all this is a man who will describe the styling of a beard on a dwarf in the same book:
Next to Frodo on his right sat a dwarf of important appearance, richly dressed. His beard,
very long and forked, was white, nearly as white as the snow-white cloth of his garments. He wore a silver belt, and round his neck hung a chain of silver and diamonds.
I think it's reasonable to assume Aragorn did not have a beard beyond that of occasional not shaving in the wilds, since there is no further evidence for its existence.