Sure! It is allowed for lay people, as long as they observe the five precepts and virtue (sila), which includes Right Livelihood (samma ajivo). Please also see this answer.
The Vanijja Sutta states:
"Monks, a lay follower should not engage in five types of business. Which five? Business in weapons, business in human beings, business in meat, business in intoxicants, and business in poison.
"These are the five types of business that a lay follower should not engage in."
The Sigalovada Sutta states:
The wise endowed with virtue
Shine forth like a burning fire,
Gathering wealth as bees do honey
And heaping it up like an ant hill.
Once wealth is accumulated,
Family and household life may follow.By dividing wealth into four parts,
True friendships are bound;
One part should be enjoyed;
Two parts invested in business;
And the fourth set aside
Against future misfortunes."
The Dighajanu Sutta advises:
"And what does it mean to maintain one's livelihood in tune? There is the case where a lay person, knowing the income and outflow of his wealth, maintains a livelihood in tune, neither a spendthrift nor a penny-pincher, [thinking], 'Thus will my income exceed my outflow, and my outflow will not exceed my income.'
The Adiya Sutta talks about the five types of benefits that can be obtained from wealth, which are summarized below:
'My wealth has been enjoyed,
my dependents supported,
protected from calamities by me.
I have given supreme offerings
& performed the five oblations.
I have provided for the virtuous,
the restrained,
followers of the holy life.For whatever aim a wise householder
would desire wealth,
that aim I have attained.
I have done what will not lead to future distress.'
When this is recollected by a mortal,
a person established in the Dhamma of the Noble Ones,
he is praised in this life
and, after death, rejoices in heaven.