Is it possible to be grammatically correct and describe any situation with use of Simple and Continuous tenses? With no use of Perfect and Perfect Continuous.
This is as if you had asked "can you speak English without using the word 'dog'?" It's possible, but eventually you will want to refer to a canine pet and then you are stuck.
Roughly 5% of verbs in English texts have their perfect form. So this is not a rare or obscure part of grammar. In many cases it might be possible to rephrase with past tense, but there is often a change in meaning or nuance.
And even if you have succeeded in avoiding perfect tenses, what will you do when someone speaks to you? You need to know and understand the perfect tenses to be able to communicate in English fluently.