Are these 2 procedures to fight cancer (cancer "vaccine", and cancer drugs which can attack all tumours) related?
The first source (Science Direct) says that the "vaccine" treatment stimulates T cells to attack cancer. In general, this treatment is intended for all tumors and has been very successful in studies in mice. Cancer.net and Cancerresearchuk describe cancer treatment vaccines in a bit more detail.

The second source (Telegraph.co.uk) mentions “tumor agnostic” or "tissue agnostic" drugs, which target tumors according to their genetic make-up, rather than the tissue from which they arise. This treatment is intended only for specific tumors with known genetic mutations. Examples of tissue-agnostic drugs are pembrolizumab and larotrectinib, which are approved by FDA for treatment of certain metastatic solid tumors.

So, these are two different ideas and most of these drugs are currently in a research phase.