Sure it can. For nasdaq its $4 for American exchange its $2 to $3.
Now some will bulk here at R/S ... But...
Reverse splits are a sign of good things for companies on the way up, but a sign of bad things for companies on the way down.
In order to meet the minimum share price requirements for Nasdaq, many companies will conduct a reverse split.
This is perfectly acceptable to the exchange, and the post-split share price will be evaluated accordingly.
Using a reverse split to raise the share price and obtain an uplisting is a very positive sign for a company and is much different than companies that use a reverse split to prevent being delisted.