Yes it is possible (sorry Maverick!!), and I do it all the time. Well, not all the time, but very often, and it comes naturally. But it seems nobody believes me, so I don't talk about it usually. I get tired of being called a liar and patronized and told I don't know my own mind and the way I work, so I gave up explaining it ages ago and hope that people will just 'get it' by getting to know me and seeing the way I live. But, since you ask...
For me it's quite simple, it comes down to something I read many years ago (age about 12) in Marcus Aurelius, about how, when you see someone behaving in such-and-such a way, there's no use in being indignant, or judgemental, or outraged. They're just behaving however they're bound to, considering their worldview, which has developed over many years, and under myriad conditions beyond my knowledge and understanding. It's like patriotism - it's only valid if you allow foreigners to be patriotic too; it's only true and justified if you acknowledge and respect other nations as being things others are justified in being patriotic about. Therefore, my worldview is only justified and valid if I acknowledge the justification and validation of everyone else's.
Valid, justified, correct and accurate are not synonyms. Saying something is one is not saying it's necessarily the other, but I tend not to say anything is anything except... that it exists, and try to understand it. I form tentative, interim 'opinions' but I don't tend to use the word 'opinion' of what I think, because it denotes a sense of permanency or fixedness that doesn't exist in me. What I think of anything or anyone is only the theory I'm currently working with, given what info I have.
I've even managed to get this through to an ENTJ, who tells people that if I seem to be giving an opinion, I'm actually just venturing a proposal, to see what they think of it, so I can take it back to the drawing board, work on it in light of the new info, then present it again, ad infinitum.
I find it strange that whenever I express any sorta policy of mine that revolves basically around non-judgementalism and compassion, I usually get my head bitten off for it, and told off, and somehow told that I'm 'being bad' or wrong, or that I'm basically foolish or whatever. So be it - I've not been able to feel as right in my conscience about being any other way than 'foolish' like this.