Can I travel to UK for study without any English Tests?

Yes, it is possible to study in UK without English test (IELTS, PTE etc) through the following requirements: Proof of over 70% in English in High School/Class XI and Class XII. Proof that English as the medium of instruction in your school.

Please note that the reasons an IELTS is needed:

1. For Visa Application (UKVI)

2. To Meet Academic Requirements for the Course Hence, students must meet both condition is applicable.

Countries that don’t need a visa to UK, they only need to meet Academic Requirements for course:

 - UKVI and Non UKVI IELTS accepted

Also, It's depend on applied course:

For Master Degree or NQF 7 or above :

 - Have previously completed an academic qualification equivalent to a UK degree which was taught in what we call a ‘majority English speaking’ country, and can provide a “Statement of Comparability” (English speaking’ country please visit UKVI site)

For Bachelor Degree (NQF 4 to NQF 6):

1) Have successfully completed a course of study in the UK as a Tier 4 (Child) student, provided your course was at least six months long and it was completed no more than two years before your new CAS was assigned.i.e 1)  GCSE English (Grade C or above),  IB English (Grade 4),  AS and A Level (English or English Literature pass), Proof of over 70% in English from Indian High School/Class XI and Class XII.

IELTS is not the only way that a university can examine the English proficiency of applicants. If you haven’t given the IELTS exam, there are some alternatives provided by universities in the UK. Let’s look at the substituting criteria of IELTS offered by UK universities:

• Online interview: Some universities may ask you to appear for an online interview to assess your English proficiency.
• English marks obtained in high school: If you have scored more than 70% in English in your high school, then some universities will consider your high school marks rather than IELTS. However, universities have set their own requirements for different courses.
• English major: If you studied English as a major specialization while pursuing your undergraduate degree, then you do not need to appear for IELTS. 
• Pre-sessional English Course: As elaborated above, some universities offer pre-sessional English courses for those who plan to study in UK without giving IELTS and thus can opt for these courses once they get accepted for their chosen degree or diploma program