It's hard to provide solid answers as I don't know where this cabin is, but: High-speed? Probably not.

But, in most cases, your options are satellite or wireless point-to-point links off of nearby hills, which are quite expensive.

Wireless p2p links (WISP) generally need line of sight and don't handle trees in the way (especially when said trees are covered in rain or ice.

Satellite requires LOS to the south sky if you're in the US.

Fiber to your cabin would be more money than you had. (If you had such money, you wouldn't be asking about it on HN)