Almost certainly not through standard visitation, and here is why.
Most correctional facilities run background checks on everyone who applies for visitation approval. Being on probation, particularly in the same county where your boyfriend is now being held for a probation violation, is one of the most common reasons visitation gets denied. Facilities are cautious about allowing people with active criminal justice supervision to visit inmates, both for security reasons and because probation conditions themselves often restrict contact with other people involved in the criminal justice system.
Your own probation conditions are worth reading carefully before you make any attempt to visit. Many probation orders include a condition prohibiting contact with other convicted felons or people under criminal justice supervision. Visiting someone in jail while on probation could itself be a violation of your own supervision terms, which is a problem you do not need on top of everything else.
The safest move is to contact your probation officer before attempting any visit and ask directly whether visiting your boyfriend is permitted under your current conditions. That conversation protects you. Going to the facility and having a background check surface your probation status without having cleared it first creates unnecessary risk.
On the broader situation, moving to a new area to start fresh is a real and legitimate goal. But the circumstances suggest the patterns that led to the original probation have not fully changed, at least on his end. Protecting your own probation standing during this period is the most important thing you can do for your own future right now.