Venting into a chimney

"chimney" being rather vague… I'd get a reliable chimney sweep in to clean and evaluate the flue or flues and the structural condition of the chimney. It might need work. Might not. Might need a liner. Might not. Might be big enough. Might not…

Also you need to know exactly what the venting requirements for that boiler are.

To be clear on your query, I can not find any specifications on a Viessmann model BK200E anywhere in the old or new equipment catalogs i have access to. I do know that many of the Viessman gas and LP boilers are condensing boilers and do not fall into the Category I venting design that allows for chimney venting.

here are the venting categories:

Category I is characterized by negative pressure and non-condensing appliances. These systems rely on gravity to vent flue gases, and if there is a leak, air from the space will flow into the flue pipe rather than flue gas leaking out. Category I venting systems can use single wall, double wall, B-vent flue pipe, or even a chimney.

Category II is also under negative pressure but may produce excessive condensate. These appliances are typically condensing and have a combustion efficiency greater than 83 percent under ANSI test conditions. However, Category II products are no longer manufactured.

Category III operates with positive pressure and non-condensing appliances. If there is a leak in the venting system, flue gas will flow from the flue pipe into the space, which poses a safety hazard. Therefore, Category III vent pipes must meet additional safety requirements, such as being gas-tight with gas tight venting systems.

Category IV is positive pressure and condensing, typically used for high-efficiency appliances with an annual fuel utilization efficiency (AFUE) of 90 percent or higher. These systems require sealed joints and are often made of materials like PVC or CPVC.

I believe the Viessman boiler you have would fit into Category IV, but I can not be absolutely sure since the model number you posted is either incorrect or is from a time before internet records are available. Absent more information my vote would be the vent according to the manufacturers venting instructions.

EDIT: it appears that Viessmann does make a steam boiler for commercial use. I do not have information on older models, so it is possible that if @heron98105's old Weil McLain is a commercial boiler in the 20 HP range and above,

Then there may be a Viessmann steamer to replace it.  I don't have access to older model numbers but the newer boilers may be one of these:

And this Viessmann may be able to be vented into a chimney after you follow @Jamie Hall's suggestion about inspection. The consensus is still "Follow the manufacturer's venting instructions."

Then the chimney vent is NO

You can use an abandoned chimney as a chase for the recommended vent material. but you can never use that chimney to vent a Cat. I vented appliance as long as the Cat. IV vent pipe is inside that chimney

EDIT:

In this instruction manual for venting Viessmann boilers, on page 83 there are instructions for using a chimney to vent a Cat. IV appliance. Viessmann venting instructions. I hope this answers your question.

@heron98105

Running the venting through the chimney will avoid needing the sign.

Running the venting through the chimney does not avoid the requirement for C0 detectors in MA as far as I know.

As I recall in a residence MA requires a CO detector on each habitable level but the last I knew they could be battery operated. Don't think that has changed.