Not in basegame. MrDoubleA has created a custom version that acts like it does an SMW. I'm surprised his version wasn't made basegame due to it being more accurate.
Watching this made me realize how many bosses those OG SMB games actually had. Because what I noticed was what was missing. Variants of Birdo - sometimes fireballs, all fireballs Mask Gate - the False Door from SMB2 Variants of Mouser Tryclyde The other Koopalings Bowser's Brother / Blue Bowser - (The Lost Levels) False Bowser (the ones that turn into other enemies when they die)