NB: If you’re looking for an explanation of what the EBacc actually *is* try my other post explaining it here. If you want to know about university EBacc requirements, read on
In a word ‘Yes’. There is no university that currently requires you to have passed, or even studied, all the subjects in the English Baccalaureate in order to get onto their courses. Most universities expect to see a C or above in English and Maths, and commonly there is some preference of A-Level subjects they want you to have studied (e.g. History A-Level if you are going on to do History, or Maths for Engineering) though even then there are regular exceptions [one of my favourite stories is of the current Fulbright scholar who did Mathematical Physics at university having studied neither Maths nor Physics at A-Level].
The subjects in the EBacc are the ones most often required by universities (though – as far as I know – no-one is asking specifically for all 5) and they are the ones that many admissions tutors prefer to see. However, the most important place to go for information is the universities own admissions website. You can find this by googling the university name plus “admissions”, or by using ucas.com. Go to the page for the subject you are looking to enter for to see if there is anything specific to your course.
A note on MFL at UCL: It is not the case that you must have a modern foreign language to study at UCL. Their website clearly states that you must have English and Maths GCSE C grade or above (this is the case for most university courses), but that they will not disadvantage anyone who did not study foreign languages at school. If you do not have a C grade or above in MFL they will require you to take a half-credit course at university (as part of your regular tuition – there’s no extra cost) so that you can develop your language skills further.
Hence: do not panic if you do not have all EBacc subjects. Worry if you do not have maths or English GCSE. Look carefully at A-Level requirements, but otherwise – as far as the EBacc is concerned – you have nothing more to think about.