Sure but the correct term is actually roll roofing as it comes as a 3-foot wide sheet that is rolled up. There are several types, self-stick, cold application with roof cement, or torch down where a large torch is used to heat the roll as it is applied to activate the adhesive on it.
These types of roofing are used only in low slope applications. You didn’t mention which kind you have but none of them are considered to be a high-quality roofing material but the torch down is the best of the bunch.
EPDM rubber is by far a superior product for low slope applications. It is a large sheet of synthetic rubber, usually 12 feet wide but can come in many other widths, that is joined together using a special adhesive that “ welds” the sheets together as if they were one. It also comes in 2 different thicknesses, 45 or 60 mill.
If you are unsure about the integrity of your roof and if money is no object then a complete tear-off and replacement is in order. That’s the only way to know if there is any damage to the roof sheathing under the membrane. If money is an issue then hire a reputable roofer who can make spot repairs as needed. I would also look inside for signs of water damage and if there are any signs of that, then time is of the essence because it will only get worse with each new rainfall. Good luck!