Can I Cut These From My Grapevine?

It appears these are called 'Aerial Roots' and although weird looking can be removed without damaging your grape vines.
"Aerial rooting in grapes has been described as an indication of cold injury."

"Grape aerial roots, in themselves, are harmless. There is no evidence suggesting that they will impact the health or fruit production of the vine. However, grape aerial roots may actually be a sign from the vine that it is stressed or that it has experienced an injury in the recent past."

Here is a link that explains what may be causing your problem.
blog-fruit-vegetable-ipm.extension.../.../creepy-but-harmless-grape-aerial...

Yes, these are aerial roots.
I found an interesting post by Eric Stafne (Mississippi State University) about aerial root formation in grapevines. grapes.extension.org/.../

"Aerial root formation in Vitis has been documented on different grape species; however, the driving forces behind the formation of adventitious roots are not well understood.
In temperate regions, freeze injury is the most likely initiator of aerial roots, as de Klerk et al. (1999) stated that some wounding is generally necessary to induce rooting.
Freeze injury has often been associated with aerial roots in temperate vineyard locations (Takeda et al., 1982; Clark, 2001); although, environmental conditions that follow the freeze event also may play a role.
With so little documentation of aerial rooting, one may conclude that the roots have no function and have no subsequent effect on the vine after they are produced. However, at least one author (Lindley, 1855) believed that vines that produced aerial roots also produced "bad grapes" and had "poor cane development".
Subsequent effect of aerial roots on the vine has not been shown conclusively to be detrimental."

grapes.extension.org/.../