Definitely! Cameras are also on entrance and exit doors. It wouldn't be that difficult to view footage of people entering once a timeframe was narrowed down. Haven't been to a casino in the US for a while but I know the ones I have been to in Canada run your DL or ID through a scanner before allowing entrance. Anyone know if casinos in US do this?
ETA: spelling
Turtle Lake casino does not have this. You can just walk in. While their surveillance isn't at the level of say MGM Grand in Vegas with stuff like biometric facial recognition, there are high resolution 360 cameras at every entrance and outside in the parking lot. It's pretty easy for a casino camera to capture the license plate of virtually any vehicle that comes into the parking lot.
As far as individuals that enter, they are always captured by the "eye in the sky". That is the black bubble looking things you can see if you look up at any gaming establishment in the US. Gaming law varies by state but typically requires every square inch of the gaming floor and entrance/exit ways to be easily accessible and recordable by surveillance footage and most states require casinos to maintain footage digitally for 6-12 months however many casinos keep it longer such as up to two years in case they are sued or need to sue in a monetary dispute. Cameras are not permitted in restrooms however they are immediately outside the restroom so the casino can track if someone goes in, do they come out. While less regulated, most US casinos have 360 cameras set up to cover their parking lot as well.
The "eye" is really a 360 panoramic camera that has multiple zoom features. Depending on the strength of the camera you can zoom down to the ground level and tell what kind of shoes a person is wearing if it's a live shot. If they are captured walking across the floor by watching back footage, options are more limited but you can still tell general physical features. Most cameras, even casino ones, can't take a piece of footage recorded previously of someone walking across the floor and zoom in to the level of detail where you can clearly see their face and all it's features. If you were watching that person live and they were standing still then you could.
Surveillance at a small tribal casino like Turtle Lake however isn't what you'd expect in Vegas. The Hollywood picture of dozens of trained guards and experts sitting in a NASA Mission Control like room zooming in and out of camera live shots is very misleading. Casinos spend millions on technology however much less on those watching.
It's very reactionary work - you wait for a call from a pit to either queue up footage from a recent happening or the pit suspects someone is doing something shady and wants more human eyes on them. For example, the pit will call up and say that "pit 5, table 3 BJ first base may be capping". This means that in pit five at the third table in the row, blackjack game, the player to the immediate left of the dealer and first to act each hand may be discreetly placing extra chips on winning bets to be paid more. I'll spare you the logistics of how this is accomplished but if you have a novice dealer, it's actually very easy to do. The surveillance folks would then zoom in on that table and player and watch them specifically for a period of time.
Getting a casino surveillance job at a place like Turtle Lake is relatively easy and you don't need much training to do so. Often on the "graveyard" shift (usually 2 AM-10 AM) you have 1-2 people viewing live footage. I've been told the late shift people are really there to just wait for a call from one of the pits or slot manager if there's something they need to focus on.
Otherwise, it's really sit there and stare at the screen and is an incredibly boring job as most surveillance people are those who have limited experience in the gaming or security industry as those positions are not well paid. Anyone who is a true expert can make a ton more money doing private consulting or going to work for a third party outsourcing firm.
Source: My own knowledge of casino surveillance from friends who work in the industry and I also work for the security provider for a major fitness brand in the US.