Christianity and Islam both have a “you shall not worship any gods other than me” rule. I’m sure they’re not the only ones.
Even without those rules, a lot of religions completely conflict on ideas.
Christians think the universe was made 6,000 years ago, in 6 days, and the Earth was populated in them. Scientologists believe the universe is billions of years old, and that the Earth was populated 75m years ago when the Galactic Frederation threw souls into volcanoes.
Hindus believe that everything is recycled. The universe is cyclically destroyed and created every 4b years.
And these conflicts exist for thousands of issues, not just in regards to the age of the universe.
I guess given that there are thousands of belief systems out there, that some are compatible with a mix-and-match system. But in general, I’d say no.