The answer is probably yes, but with restrictions.
I'm basing this on these guidelines by the Farmers Market Coalition:
3) Live animals (livestock or pets):
a) A vendor selling a food product at a Farmersʼ Market may not bring or keep live animals
(livestock or pets) in or around his/her booth.
b) A food vendorʼs booth must be set up at least ...
While that may be quibbling about the definition of "Farmer's Market," lobsters were traditionally sold living, both in shops and fishing villages. They are still available both in the US and Europe. On a slightly lower budget there are crabs, which I've seen sold alive in Europe, too.
As of 22 May, apart from the mutual decisions to close the land borders with Canada and Mexico to non-essential travel, the US has imposed no restrictions on travelers coming from the Americas.
It is worth noting that, even though the land borders may be closed, flights between the US, Canada and Mexico are continuing.
I would expect to see live small animals at a French market every week. Things like rabbits, chickens etc. I would expect to be able to get live shell fish if I was any where near the sea.
I've seen similar at Portuguese markets on the one or two times I've visited them.
In general I'm talking about real farmers' markets where actual farmers buy and sell ...
United States India PAC is one at least.
Founded in 2002, USINPAC has a successful track record of supporting and opposing legislation independently, as well as working with issue-based coalitions. USINPAC proudly serves as a resource for Congress, the White House and for Indian-Americans in the USA and abroad.
A quick look at their own site shows that ...
Here in germany, it is not customary to sell, say, live chickens or other live animals for immediate private consumption on a farmers' or weekly market. Since we can keep proper cooling chains, the one big advantage of selling live animals for direct consumption vanished decades ago.
animals are sold (auctioned) at what would be literally specialized ...