Why not? Assuming access to books (library, bookstores) and journals via a library (should be present in most schools or within a school district, decent libraries in my rather small town), a student would be in the same situation as most pre-2000 students, many of whom succeeded just fine.

Plenty of students got an education before we assumed everyone had a computer, too. But the environment surrounding the student, including the infrastructure they must interact with as a necessary part of being a student, has changed. At the least, such a student will be at a disadvantage.

Pre-2000 students had access to card catalogs within the library. Most libraries nowadays use the Internet to support their many locations' cataglogs.

Never seen a library without a computer onsite. Most of the time you can use it only to search for books etc.

Agreed. Most library systems I've come across have their catalog servers located elsewhere, except for very small community libraries. (Granted, this is the worst type of data: anecdata).