No realistic chance at all.
At the motherboard end, there’s a kind of polling chip that monitors the data coming in from the keyboard. When a “real key” is hit, then an interupt signal occurs, a device driver is momentarily invoked, whatever program is taking key presses gets notified, that program deals with it, etc. (There can be several programs in a chain waiting for keys, if the first one realizes that it wasn’t for it, then it is passed on to the next, etc.)
The small amount of extra “effort” the computer puts into handling such a keypress is almost always trivial. But, if the keypress causes an inactive program to become active or some such, then disk swapping can occur and a small amount of extra hard drive usage occurs. But the chances of that extra HD use causing any noticable extra wear-and-tear over any reasonable length of time is small.
OTOH, the “shift” type keys are handled a bit differently. Most programs themselves aren’t interested in just a shift/caps/alt/etc type key being pressed and will only be fed a keypress when the combined key is actually pressed. Only then does the previous sequence of events happens. (There are a few apps that do pay attention to shift key state changes, but not likely your poker plugin.)
(Note to Harmonious Discord: Yes, there really are programs that pay attention to the state of shift keys. In fact, I have written such programs and have even given programming assignments to students that involve tracking such key presses since the usual interupt behavior is a little different than from regular key presses.)
On the keyboard side, there will be a tiny amount of extra wear-and-tear on the circuitry inside the keyboard. Well okay, what’s word for several orders of magnitude smaller than tiny?
I.e., don’t worry about it.
Note that there are some programs for setting the “shift” keys to be “sticky” for use by handicapped people. Maybe, just maybe, one of them can also be set to have the alt key always “down”, in a virtual sense.