A mismatched antenna, in this case a stubby 800 trying to be used on VHF will result in the power output from the radio getting reflected back into the finals. Since this energy has nowhere to go, it gets turned into heat. That heat will eventually damage the final stage of the RF amplifier. It's not usually a catastrophic failure, but it's a failure none the less. As a public safety professional, I'm willing to bet that you rely on your radio pretty heavily, maybe even consider it a necessity for your safety. Knowingly doing something that will damage that radio isn't a good idea. Willingly doing it pretty much rates on the list of "stupid radio user tricks".
The radio, which sounds like it's not yours, but your agencies, could eventually be damaged by this. When it goes into the shop, they'll figure out what's wrong, and you'll likely need to explain to your agency why you did something to their radio that damaged it.
The other thing that will happen is that the one time you need to use VHF and only have the 800MHz antenna on it, it's not going to work very well, and it's not going to work very long. I might be slightly surprised if an agency spent $4500 or more on your radio with no intention of you ever using the VHF side, so I'd caution you against assuming you'll never use it.
Keep in mind that if someone else ever uses your radio, they may not know that it doesn't have the right antenna on it. They won't know not to use it on VHF.
I know that some people that use radios every day take a particular dislike to having their ribs and/or arm pits jabbed with an antenna for an entire shift. We've had some of our guys switch out to the stubby 800MHz antennas because of this. I'm find with it, but when they come in complaining about how my system "sucks", I remind them that they are not using the antenna that I gave them with the radio.
If you rely on your radio, replacing the antenna that it was given to you with isn't a good idea. The radio system itself is designed to work with things set up a certain way. Switching out to a underperforming antenna is going to reduce the performance of your radio. As an EMT/Paramedic, this doesn't sound like a wise choice. As a "customer" of EMT's/Paramedics, I'd like to think you guys have the right equipment to do your jobs, not a substandard radio antenna. But, that's just my opinion.
I'd be really careful about doing this with someone else's radio. It will work fine if you ONLY use 800MHz, but there are too many places where this can go wrong. APX radios are expensive and they cost a lot to repair. On the other hand, guys who carry radios can be expendable and easily replaced.