In most cases no, and the reason is a standard policy that applies broadly across correctional facilities rather than anything specific to the individual situation.
Having a prior felony conviction is one of the most common automatic disqualifiers in the visitation approval process. Facilities run background checks on everyone who applies to visit, and a prior felony, especially one that involved incarceration, raises immediate concerns about the nature of the relationship, potential security risks, and whether the visit could facilitate activity the facility does not want happening. The assumption is not that every formerly incarcerated person is a threat, but that the risk calculus shifts when someone with that history is trying to get into a correctional facility.
The policy exists at both county jails and state and federal prisons, though the specific rules and the strictness of enforcement vary by system and by facility.
There is a narrow path through, but it is not easy. The only realistic way this gets approved is with written authorization from the warden, and getting that requires a compelling reason that justifies overriding the standard policy. A close family relationship, documented evidence of a positive influence on the inmate, and a clean record since the prior incarceration all help build that case, but even with all of those factors aligned the warden is not obligated to say yes and many will not.
If this is genuinely important, the right approach is a formal written request to the warden's office explaining the relationship and making the strongest possible case for why the visit should be allowed. Go in expecting no and be pleasantly surprised if the answer is different.