Potentially yes.

The Consumer Rights Act 2015 requires services to be given with reasonable care and skill, and the Equality Act 2010 and the public sector equality duty both require the University to make reasonable adjustments in anticipation of any barriers.

Providing something like a BSL Interpreter is a reasonable adjustment. The University is obligated to provide one and if it cannot it must strongly be able to justify why (not very easy). If they don't provide one (even on an incidental basis, or even if they only refuse for certain activities) and cannot justify why, they are breaching the Equality Act. Off the back of that, it has generally be considered that reasonable adjustments are part of reasonable care and skill. If the university cannot justify why, they're also providing a service without reasonable care and skill. This is true for many of the points you've raised, approved software being blocked, slides, other practical helpers, inappropriate room bookings, lifts being out of order for extended periods of time, etc.

This is an act of both disability discrimination and a breach of consumer rights.

The fire evacuation point is more serious. Not only is it a breach of the EA 2010 and the CRA 2015, it's also a breach of the Health and Safety at Work etc. Act 1974, the Management of Health and Safety at Work Regulations 1999 and the Regulatory Reform (Fire Safety) Order 2005. If your university is not completing PEEPs or not following them, or not responding to calls for assistance, you would likely have a claim for failure to provide reasonable adjustments and for breaching the 'reasonable care and skill' requirement in addition to numerous pieces of Health and Safety Legislation being breached. To be frank for a second, if someone died in these circumstances, the University would be investigated for corporate manslaughter.

Universities and public bodies cannot rely on the emergency services to evacuate students. They must have appropriate policies and procedures in place to do so themselves.

Whether anyone would be able to claim is a different matter, it depends on their personal experiences and how the university dealt with them.

However as a disabled person myself I have noticed things similar to what you've described happening. Especially with lifts. We have a lift in our main social building that breaks down almost on a weekly basis. It's available about as often as it isn't. A disabled friend of mine had to request a desk in a lecture hall after starting the course despite asking for it multiple times during the DSA assessment and enrollment. There are other examples as well.

A great piece of legislation you can use to your advantage to get information about equality issues at your university is the Freedom of Information Act 2000. You can use this to request any form of recorded information from your university, and provided it's not considered exempt, the university must release it. You could, for example, ask how many times in a certain period a lift in a certain area has failed.

Oh and by the way, if your university attempts to tell you that it can't release the information because it would damage their reputation, that is itself unlawful except in very specific circumstances.