In addition to the safety and hunt regulation issues noted above, many people are surprised by how scarce/skittish squirrels are in the deep woods. Most of us are accustomed to "civilized" squirrels that hand around bird feeders, public park litter, and other human-maintained food sources. The abundance of this human-sourced food allows high population densities, and the individual animals are desensitized to humans. As I type this, there is one on a bird feeder that would be within my 6' social isolation perimeter - though there is a pane of glass between us.
If you get out in the wildnerness, you won't see the same thing. Squirrels there face higher levels of predation and compete with various other animals for the naturally-occurring food sources. They're not desensitized to humans. So there are fewer of them, and they are more skittish. Except during seasons where there is an abundance of food out (acorn season), you're not likely to go tramping through the deep woods and see lots of squirrels within pistol pot-shot range. There may be places where this is not true, but if you're expecting suburban rates of squirrels being within 50', you're overwhelmingly likely to be disappointed.